Foto del docente

Mauro Fabrizio

Professore emerito

Alma Mater Studiorum - Università di Bologna

Professore a contratto a titolo gratuito

Dipartimento di Ingegneria Industriale

Curriculum vitae

    Curriculum vitae of Mauro Fabrizio


    Department of Mathematics, University of Bologna.

    Graduate of the Faculty of Physics, University of Bologna (29 November 1965)


    -. Researcher of Rational Mechanics. Institute of Mathematics of the University of Ferrara and Bologna (12.1.67 - 12.31.75);

    -. full professor of Rational Mechanics in the Engineering Faculties of the University of Salerno (1.01.1976 - 30.10.1977), Ferrara (1.11.1977 - 30.10.1983) and Bologna.

    -. 2014. Emeritus professor of Alma Mater Studiorum - University of Bologna.



    -. Head of the Mathematical Institute of University of Ferrara (11.1.1981 - 10.31.1983)

    -. Head of the Mathematical Department of University of Bologna (12.1.1985 - 10.31.1991).

    -. Member of the Board of Governors of the University of Bologna (1999-2002), (2010-2011)

    -. Member of the Scientic Board of the Gruppo Nazionale di Fisica Matematica (GNFM) of Italian CNR (1980-1997) and INdAM (2004-2012).

    -. Visiting professor for the University of Minnesota, University of Bergen, DIT (Dublin Institute of Technology), Academy of Science of Kiev, Dublin City University, LNCC of Rio de Janeiro, University of Durham.

    -. 1972. Bonavera Prize of "Accademia delle Scienze di Torino".

    -. 2012. Prize of "Accademia Nazionale dei Lincei" for the works in Mechanical science.

    1.1 Scientic Activity

    1.1.1 Fields of interest:

    -. Phase transitions of first and second order.

    -. Mathematical models in continuous thermomechanics.

    -. Materials with fading memory.

    -. Partial di erential equations for system with memory.

    -. Electromagnetism of continuous media.

    1.1.2 Chairman or Co-Chairman of International Conferences:

    Mathematical Problems in the Thermodynamics of Continuous Systems. Cortona (1996).

    New progress in Mathematical Physics from Dario Gra . Bologna (2000).

    Mathematical Models and Methods for Smart Materials. Cortona (2001).

    Smart Materials and Memory. Models and Analytic Problems. Cortona (2003).

    New Trends in Fluid and Solid Models. Vietri-SA (2009)

    1.1.3 Member of the editorial board or Associate editor of the Journals:

    -. Nonlinear Analisis: Real World Applications. Elsevier Ltd.

    -. Meccanica. International Journal of Theoretical and Applied Mechanics,

    Springer Verlag.

    -. Nonlinear Oscillations, Springer Verlag.

    -. Nonlinear Dynamics and Systems Theory, Academic Inc. Press.

    1.1.4 Author of books

    La Meccanica Razionale e i suoi metodi matematici. Zanichelli. Bologna. 1989. pp. 384 + viii.

    Mathematical Problems in Linear Viscoelasticity. SIAM. Philadelphia. 1992. (with A. Morro), pp. 203 + ix.

    Introduzione alla Meccanica Razionale e ai suoi Metodi Matematici. Zanichelli. Bologna. 1993, pp. 500 + xi.

    Elementi di Meccanica Classica. Zanichelli. Bologna. 2003, pp. 255 + vii.

    Electromagnetism of Continuous Media. Oxford University Press. Oxford. 2003. pp. 668 + xvii.

    Thermodynamics of Materials with Memory. Theory and Applications. Springer. New York. 2011. pp. 574 + xv.

    1.1.5 Editor of books

    Mathematical Models and Methods for Smart Materials. World Scientic. 2002.

    Topics in the mathematical modelling of smart materials. Special issues of

    Mathematical and Computer Modelling. Pergamon Press. 2001

    New Trends in Fluid and Solid Models. World Scientic. 2009.


    1.2 Publications

A non-isothermal compressible Cahn-Hilliard fluid model for air pollution phenomena M Fabrizio, F Franchi, B Lazzari, R Nibbi Physica D: Nonlinear Phenomena 2018 Turbulence phenomena for viscous fluids by a phase field model. Vorticies and instability M Fabrizio arXiv preprint arXiv:1805.06784 2018 A non-isothermal phase-field model for piezo–ferroelectric materials A Borrelli, D Grandi, M Fabrizio, MC Patria Continuum Mechanics and Thermodynamics, 1-10 2018 Direct and inverse problems for degenerate differential equations M Al Horani, M Fabrizio, A Favini, H Tanabe ANNALI DELL'UNIVERSITA'DI FERRARA, 1-15 1 [] 2018 General dissipative materials for simple histories G Amendola, M Fabrizio, J Golden Quarterly of Applied Mathematics 2018 The Kernel of the Distributed Order Fractional Derivatives with an Application to Complex Materials M Caputo, M Fabrizio Fractal and Fractional 1 (1), 13 2 [] 2017 Melting and solidification of pure metals by a phase-field model M Caputo, M Ciarletta, M Fabrizio, V Tibullo Rendiconti Lincei-Matematica e Applicazioni 28 (3), 463-479 1 [] 2017 Modeling of heat conduction via fractional derivatives M Fabrizio, C Giorgi, A Morro Heat and Mass Transfer 53 (9), 2785-2797 7 [] 2017 Stability and thermodynamic restrictions for a dual-phase-lag thermal model M Fabrizio, B Lazzari, V Tibullo Journal of Non-Equilibrium Thermodynamics 42 (3), 243-252 11 [] 2017 3D Memory Constitutive Equations for Plastic Media M Caputo, M Fabrizio Journal of Engineering Mechanics 143 (5), D4016008 3 [] 2017 A Phase Transition Model Describing Auxetic Materials E Bonetti, M Fabrizio, M Frémond Solvability, Regularity, and Optimal Control of Boundary Value Problems for… 2017 Identification Problems for Degenerate Integro-Differential Equations M Al Horani, M Fabrizio, A Favini, H Tanabe Solvability, Regularity, and Optimal Control of Boundary Value Problems for… 2017

210. On the notion of fractional derivative and applications to the hysteresis phenomena  Meccanica 8  2017, with M Caputo.

209. Existence and stability for a visco-plastic material with a fractional constitutive equation.  Mathematical Methods in the Applied Sciences 2  2017, with B. Lazzari, R. Nibbi

208. Water Evaporation and Condensation by a Phase-Field Model, Journal of Non-Equilibrium Thermodynamics 41 (4), 295-312 2016, with D Grandi, L Molari.

207. A Ginzburg–Landau model for material aging depending on temperature  Journal of Thermal Stresses 39 (6), 658-666 2016, with A Berti.

206. A shape memory alloy model by a second order phase transition, Mechanics Research Communications 74, 20-26 6. 2016, with M Pecoraro, V Tibullo.

205. Thermomechanics of damage and fatigue by a phase field model, Journal of Thermal Stresses 39 (5), 487-499 8  2016, with G Amendola, JM Golden.

    204. Free Energies and Minimal States for Scalar Linear Viscoelasticity . Journal of Elasticity, 123 (1), pp. 97-123, 2016, with G. Amendola and J.M. Golden

    203. Second-order approximation for heat conduction: Dissipation principle and free energies . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 472 (2186), 20150707, with G. Amendola, J.M. Golden and B. Lazzari.

    202. Transition and separation process in brine channels formation . Journal of Mathematical Physics, 57 (2), 023513, 2016, with A. Berti and I. Bochicchio .

    201. Transition and separation process in brine channels formation. Discrete and Continuous Dynamical Systems - Series S 9 (1), 139-155, 2016, with C. Giorgi and A. Morro.

    200. Existence of Solutions for a Mathematical Model Related to Solid–Solid Phase Transitions in Shape Memory Alloys, Arch. Rational Mech Anal. 291, 203-254, 2016, with E. Bonetti, P. Colli and G. Gilardi.,

    199. ENERGY STABILITY FOR THERMO-VISCOUS FLUIDS WITH A FADING MEMORY HEAT FLUX. Evolution Equations & Control Theory 4 (3), 2015, with G. Amendola, J. M. Golden.

    198. Some Remarks on the Fractional Cattaneo-Maxwell Equation for the Heat Propagation.  Fractional Calculus and Applied Analysis 18 (4), 1074-1079, 2015.

    197. Asymptotic stability in linear viscoelasticity with supplies. Journal of Mathematical Analysis and Applications 427 (2), 629-645, 2015, with B Lazzari, R Nibbi.

    196. Damage and fatigue described by a fractional derivative model. Journal of Computational Physics 293, 400-408, 2015, with M. Caputo
    195. Admissible frequency domain response functions of dielectrics. Mathematical Methods in the Applied Sciences 38 (5), 930-936, 2015, with M: Caputo.

    194. Algebraic and numerical exploration of free energies for materials with memory
Electronic Journal of Differential Equations 2015 (72), 1-42, 3 2015, with Amendola, J. M. Golden.
    193. Stability and well posedness for a dissipative boundary condition with memory in electromagnetism. Applied Mathematics Letters 40, 59-64, 1 2015, with C. A. Bosello.

    192. Phase separation in quasi-incompressible fluids: Cahn–Hilliard model in the Cattaneo–Maxwell framework, Zeitschrift für angewandte Mathematik und Physik 66 (1), 135-147, 5 2015, with A. Berti, I Bochicchio.

    191. Free Energies and Minimal States for Scalar Linear Viscoelasticit. Journal of Elasticity, 1-27, 2015, with G Amendola, JM Golden

    190. A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications 1 (2) 10 2015, with M. Caputo.

    189. Stability and Second Law of Thermodynamics in dual-phase-lag heat conduction. International Journal of Heat and Mass Transfer 74, (2014) 484-489, with B. Lazzari.

    188. Free energies in a general non-local theory of a material with memory. Mathematical Models and Methods in Applied Sciences 24 (06), (2014) 1037-1090, with G Amendola, JM Golden

    187. Three Dimensional Non-Isothermal Ginzburg-Landau Phase-Field Model for Shape Memory Alloys. Modelling and Simulation in Materials Science and Engineering 22 (8), 085011 2014 , (2014), with R Dhote, R Melnik, J Zu.

    186. Admissible frequency domain response functions of dielectrics. Mathematical Methods in the Applied Sciences, (2014) with M. Caputo.

    185. Fractional rheological models for thermomechanical systems. Dissipation and free energies Fractional Calculus and Applied Analysis 17 (1), (2014) 206-223, 2

    184. Delayed thermal models: stability and thermodynamics, Journal of Thermal Stresses 37 (2), 160-173, with F. Franchi.

    183. Critical phenomena in laminarturbulence transitions by a mean field model Meccanica, 1-8 (2014).

    182. PHASE TRANSITION AND SEPARATION IN COMPRESSIBLE CAHN-HILLIARD FLUIDS. Discrete and Continuous Dynamical Systems-Series B 19 (1) (2014)

    181Shape memory and phase transitions for auxetic materials, Mathematical Methods in the Applied Sciences (2013) with M Ciarletta, V Tibullo.

    180. Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg-Landau models. Communications in Nonlinear Science and Numerical Simulation18 (9), (2013) 2549-2561, with RP Dhote, RNV Melnik, J Zu

    179. A phase eld model for brine channels in sea ice. Physica B: Condensed Matter 425, (2013) 100-104, with V Berti, D Grandi.

    178. Phase transitions and thermodynamics for the shape memory alloy AuZn. Meccanica 48 (7), (2013)1695-1700, with M Pecoraro

    177. Phase transition and ?-line in liquid helium M. Fabrizio, M.S. Mongiovì Journal of Non-Equilibrium Thermodynamics 38 (2), (2013) 185-200

    176. Phase Transition In Liquid 4He by a Mean Field Model. Journal of Thermal Stresses 36 (2), 135-151 (2013), with M.S. Mongiovì.

    175. Internal structures, phase field and balance laws in continuum mechanics. AAPP Physical, Mathematical, and Natural Sciences (2013) 91 (S1), with V Berti.

    174. On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid. Applied Mathematics Letters 25 (10). (2012) 1464-1469. With Lazzari, B., Nibbi, R

    173. Plasticity, internal structure and phase eld model. Mechanics Research Communications 43 , (2012) 29-33

    172. Second gradient viscoelastic fluids: dissipation principle and free energies. Meccanica , (2012) 1-10, with G. Amendola, Golden J. M.

    171. On the asymptotic behavior of a linear viscoelastic fluid. Mathematical Methods in the Applied Sciences 35 (7), (2012) 769-775. With Lazzari, B., Nibbi, R

    170. Thermodynamics of Materials with Memory. Theory and Applications. Springer. New York. 2012. pp. 574 + xv. With Amendola G., Golden J. M.

    169. A first order phase transition with non-constant density. Journal of Mathematical Analysis and Applications 384 (2) (2011), pp. 561-577. With Bonetti E., Fremond M.

    168. Thermodynamics of a non-simple heat conductor with memory. Quarterly of Applied Mathematics 69 (4) (2011), 787-806. With Amendola G., Golden M.

    167. Hysteresis loops for para-ferromagnetic phase transitions. Zeitschrift fur Angewandte Mathematik und Physik 62 (6) (2011), 1013-1026. With Matarazzo G., Pecoraro M.

    166. Thermodynamics of non-local materials: Extra fluxes and internal powers. Continuum Mechanics and Thermodynamics 23 (6) (2011), pp. 509-525. With Lazzari B., Nibbi R.

    165. A phase field model for a solid-liquid phase transition. Mechanics Research Communications 38 (7) (2011), 477-480. With Ciarletta M., Tibullo V.

    164. Phase separation in quasi-incompressible Cahn-Hilliard fluids. European Journal of Mechanics, B/Fluids 30 (3) (2011), 281-287.

    163. A mathematical model for solid-liquid and liquid-vapor phase transitions. AIP Conference Proceedings 1329 (2011), 109-123. With Berti V.

    162. Free energies for a rigid heat conductor with memory. IMA J. Appl. Math. (Institute of Mathematics and Its Applications) 75 (6) (2010), 833-856. With Amendola G., Golden J.M.

    161. From an interview with Gianfranco Capriz. (Italian) Mat. Soc. Cult. Riv. Unione Mat. Ital. (I) 3 (2010), no. 3, 431f459.

    160. On the energy decay for a thermoelastic contact problem involving heat transfer. Journal of Thermal Stresses 33 (11) (2010), 1049-1065. With Bonfanti G., M., Rivera J.M., Naso M.G.

    159. Entropy equation and absolute temperature. Annali dell'Universita di Ferrara 56 (2) (2010), 217-229. With Amendola G., Ban C.

    158. Minimum free energy in the frequency domain for a heat conductor with memory. Discrete and Continuous Dynamical Systems - Series B 14 (3) (2010), 793-816. With Amendola G., Golden J.M.

    157. An optimal control problem for a singular system of solid-liquid phase transition. Numerical Functional Analysis and Optimization 31 (9) (2010), 989- 1022. With Favini A., Marinoschi G.

    156. A Ginzburg-Landau model for the phase transition in Helium II. Zeitschrift fur Angewandte Mathematik und Physik 61 (2) (2010), 329-340.

    155. A New Approach to Equations with Memory. Archive for Rational Mechanics and Analysis 198 (1) (2010), 189-232. With Giorgi C., Pata V.

    154. Hysteresis and Phase Transitions for 1D and 3D Models in Shape Memory Alloys. J. Math. Phys. 51 (6) (2010), art. no. 007006, 1-13. In coll. Berti V., Grandi D.

    153. Phase transitions in shape memory alloys: A non-isothermal Ginzburg-Landau model. Physica D: Nonlinear Phenomena 239 (1-2) (2010), 95-102.With Berti V., Grandi D.

    152. A non isothermal Ginzburg-Landau model for phase transitions in shape memory alloys. Meccanica 45 (6) (2010), 797-807. With Daghia E. e Grandi D.

    151. Thermal convection on a simple fluid with fading memory. J. Math. Anal. Appl. 366 (2010), no. 2, 444 -459. With Amendola G.

    150. On the minimum free energy for a rigid heat conductor with memory effects. Nonlinear Dynamics and Systems Theory 9 (4) (2009), 333-360. With Amendola G., Franchi F.

    149. Free energies and asymptotic behaviour for incompressible viscoelastic fluids. Appl. Anal. 88 (2009), no. 6, 789f805. With Amendola G., Golden J. M., Lazzari, B.

    148. A thermodynamic approach to ferromagnetism and phase transitions. Internat. J. Engrg. Sci. 47 (2009), no. 9, 821-839. With Giorgi C., Morro A.

    147. A three-dimensional phase transition model in ferromagnetism: existence and uniqueness. J. Math. Anal. Appl. 355 (2009), no. 2, 661-674. With Berti, V., Giorgi, C.

    146. Existence and boundedness of solutions for a singular phase eld system. J. Di erential Equations 246 (2009), no. 8, 3260-3295. With Bonetti E., Colli, P., Gilardi G.

    145. Well posedness for a phase transition model in superconductivity with velocity and magnetic critical elds. Math. Models Methods Appl. Sci. 19 (2009), no. 1, 1-30. With V. Berti.

    144. Minimum free energy for an electromagnetic conductor with memory. Math. Methods Appl. Sci. 32 (2009), no. 1, 77-111. With G. Amendola e J.M. Golden.

    143. On a doubly nonlinear phase- eld model for rst-order transitions with memory. Di erential Integral Equations 21 (2008), no. 3-4, 325-350. With V. Berti e C. Giorgi.

    142. On Linear Viscoelastic Fluids: Free Energy and Asymptotic Behavior. In: Mathematical Physics Models and Engineering Sciences. Napoli, June 22-23, 2006, NAPOLI: Liguori Editore, srl, vol. 8, p. 231 248. With B. Lazzari.

    141. Ice-water and liquid-vapor phase transitions by a Ginzburg-Landau model. J. Math. Phys. 49 (2008), no. 10, 102902, 13 pp.

    140. Existence and uniqueness for a mathematical model in superfluidity. Math. Methods Appl.Sci. 31 (2008) 1441-1459. With V. Berti.

    139. On a model for thermo-poroacoustic waves. Int. J. Engrg. Sci. 46 (2008), no. 8, 790f798. With F. Franchi., B. Straughan.

    138. A continuum theory for rst-order phase transitions based on the balance of structure order. Math. Methods Appl.Sci. 31 (2008) 627f653. With C. Giorgi, A. Morro.

    137. Stability and free energies in linear visco-elasticity. Matematiche (Catania) 62 (2007), no. 2, 175f98. With B. Lazzari.

    136. Maximum recoverable work and pseudofree energies for a rigid heat conductor. Nonlinear Oscil. 10, No. 1, 7-25, (2007). With Amendola, Giovambattista; Bosello, Carlo Alberto.

    135. Well-posedness for solidfliquid phase transitions with a fourth-order nonlinearity. Physica D 236, No. 1, 13-21. With Berti, Valeria; Giorgi, Claudio.

    134. A non-isothermal Ginzburg-Landau model in superconductivity: existence, uniqueness and asymptotic behaviour. Nonlinear Anal. 66, No. 11, 2565-2578, (2007). With Berti, Valeria.

    133. Global solution to a singular integro-di erential system related to the entropy balance. Nonlinear Anal. 66, No. 9, 1949-979, (2007). With Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni.

    132. Maximum recoverable work for incompressible viscoelastic fluids and application to a discrete spectrum model. Di erential Integral Equations 20, No. 4, 445-466, (2007). With Amendola, G. and Goldel M.

    131. Existence and uniqueness for a non-isothermal dynamical Ginzburg-Landau model of superconductivity. Math. Comput. Modelling 45, No. 9-0, 1081-095, (2007). With Berti, Valeria.

    130. Asymptotic behaviour for a two-dimensional thermoelastic model. Math. Methods Appl. Sci. 30, No. 5, 549-566, (2007). With Lazzari, B.; Munoz Rivera, Jaime.

    129. Gauge invariance and asymptotic behavior for the GinzburgfLandau equations of superconductivity. J. Math. Anal. Appl. 329, No. 1, 357-375 (2007). With Berti, Valeria; Giorgi, Claudio.

    128. A nonisothermal dynamical Ginzburg-Landau model of superconductivity. Existence and uniqueness theorems. Dierential equations. Inverse and direct problems. Papers of the meeting, Cortona, Italy, June 21f25, 2004. CRC Press. Lecture Notes in Pure and Applied Mathematics 251, 17-33 (2006). With Berti, Valeria

    127. A thermodynamic approach to non-isothermal phase- eld evolution in continuum physics. Physica D 214, No. 2, 144-56 (2006). With Giorgi, Claudio; Morro, Angelo.

    126. On exponential asymptotic stability in linear viscoelasticity. Math. Models Methods Appl. Sci. 16, No. 10, 1677-1694 (2006). With Appleby, John A.D.; Lazzari, Barbara; Reynolds, David W.

    125. Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity. Discrete Contin. Dyn. Syst., Ser. B 6, No. 5, 1001-026 (2006). With Bonetti, Elena; Colli, Pierluigi; Gilardi, Gianni

    124. Free energies and Fichera's quasi-static problem for materials with fading memory. Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX.

    Ser., Rend. Lincei, Mat. Appl. 17, No. 1, 15-24 (2006). With Amendola, Giovambattista.

    123. The concept of a minimal state in viscoelasticity: New free energies and applications to PDEs. Arch. Ration. Mech. Anal. 181, No. 1, 43-96 (2006). With Deseri, Luca; Golden, Murrough.

    122. Viscoelastic solids of exponential type. II. Free energies, stability and attractors, Meccanica, 39 (2004), 547-561, (with C. Giorgi e M. G. Naso).

    121. Viscoelastic solids of exponential type. I. Minimal representations and controllability, Meccanica, 39 (2004), 531-546, (with C. Giorgi e M. G. Naso).

    120. Free energies in the materials with fading memory and applications to PDEs. "WASCOM 2003"f2th Conference onWaves and Stability in ContinuousMedia, 172f84, World Sci. Publishing, River Edge, NJ, 2004.

    119. Some qualitative results on the dynamic viscoelasticity of the Reissner- Mindlin plate model. Quart. J. Mech. Appl. Math. 57 (2004), no. 1, 59f78. (with S. Chirita)

    118. Non-isothermal free energies for linear theories with memory. Math. Comput. Modelling 39 (2004), no. 2-3, 219.253. (with G. Gentili, J. M Golden)

    117. Minimum free energies for materials with nite memory. Essays and papers dedicated to the memory of Cli ord Ambrose Truesdell III. Vol. III. J.Elasticity 72 (2003), no. 1-3, 121f43. (with J. M Golden)

    116. A non-stationary model in superconductivity. Mathematical models and methods for smart materials (Cortona, 2001), 251f263, Ser. Adv. Math. Appl. Sci., 62, World Sci. Publishing, River Edge, NJ, 2002. (with R. Nibbi)

    115. Obituary [Giorgio Gentili]. Mathematical models and methods for smart materials (Cortona, 2001), ixfxi, Ser. Adv. Math. Appl. Sci., 62, World Sci. Publishing, River Edge, NJ, 2002.

    114. Electromagnetism of Continuous Media. Mathematical Modelling and Applications, Oxford University Press (2003). xviii + 668 pp. (with A. Morro)

    113. The minimum free energy of compressible viscoelastic fluids. Mathematical Models and Methods for Smart Materials (Cortona (Italy), 25-29 June (2001) a cura di M. Fabrizio, B. Lazzari, A. Morro pp. 89-01, World Scientic, New Jersey, 2002 (with G. Gentili e M. Golden)

    112. Gentili's norm on the process and state spaces in linear viscoelasticity, Mathematical Models and Methods for Smart Materials (Cortona (Italy), 25-29 June (2001) a cura di M. Fabrizio, B. Lazzari, A. Morro pp. 235-246, World Scientic, New Jersey, 2002

    111. A non-stationary model in superconductivity. Mathematical Models and Methods for Smart Materials (Cortona (Italy), 25-29 June 2001) a cura di M. Fabrizio, B. Lazzari, A. Morro pp. 251-263, World Scienti c, New Jersey, 2002

    110. Maximum and minimum free energies for a linear viscoelastic material, Q APPL MATH, 60, pp. 341-381 (2002) (With J. Murrough Golden)

    109. Elementi di Meccanica Classica, Zanichelli, Bologna, 2002, pp. 1-255.

    108. Balance equations in two-fluid models of helium II. Mathematical Models and Methods for Smart Materials (Cortona (Italy), 25-29 June 2001) a cura di M. Fabrizio, B. Lazzari, A. Morro pp. 235-246, World Scienti c, New Jersey, 2002 (With Angelo Morro)

    107. Asymptotic decay for some di erential systems with fading memory. Applicable Analysis, 81, n. 6, pp. 1245-264 (2002) With S. Polidoro.

    106. The minimum free energy for a class of compressible viscoelastic fluids. Adv. Di erential Equations 7 (2002), no. 3, 319f342. with G. Gentili, e M. Golden).

    105. Thermodynamics of non local- electromagnetism and superconductivity. Math. Meth. Mod. Appl. Sc., 13 (2003), 945-969 (With B. Lazzari e A. Morro)

    104. Models of Electromagnetic Materials, Mathematical and Computer Modelling, 34, (2001)1431-458. (Special isseu on: Topics in the Mathematical Modelling of Smart Materials. Ed. M. Fabrizio, A. Morro, M. Pitteri) (with A. Morro).

    103. Maximum and Minimum Free Energies and the Concept of a Minimal State, Rendiconti di Matematica, (VII) 20, (2000), 131-65 (Volume in Memoria di G. Fichera) (with M. Golden)

    102. Maximum and minimum free energies for a linear viscoelasic material, Quart. Appl. Math. 60, (2002) 341-381. (with M. Golden).

    101. Some Spatial Decay Estimates in Time-Dependent Stokes Slow Flows, Applicable Analisis, 77, (2001), 211-231. (with S. Chirita' e M. Ciarletta).

    100. Asymptotic behaviour of a thermoelastic plate of weakly hyperbolic type, Di erential and Integral Equations, 13, (2000), 1347-370. (with B. Lazzari e J. Munoz Rivera).

    99. Asymptotic behaviour of a thermoelastic plate of weakly hyperbolic type, Di. Integral Eq., 13, (2000), 1347-370. with B. Lazzari e J. Mu~noz Rivera.

    98. A time-dependent Ginzburg-Landau model of superconductivity, Riv. Mat. Univ. Parma, (6) 2, (1999), 155-69. Volume speciale per il 50 anniversario della Rivista di Matematica. Universita' di Parma.

    97. Superconductivity and gauge invariance of the Ginzburg-Landau equations, Internat. J. Engrg. Sci, 37, (1999) 1487-494.

    96. Dissipativity and irreversibility of electromagnetic systems with memory, Math, Mod. Meth Appl. Sc., 10, (2000), 217-246. (With con A. Morro)

    95. On the fading memory principle, In memoria di G. Fichera. Atti Convegno Lincei "Interactions between Analysis and Mechanics". Roma, 1999.

    94. Asymptotic behavior in linear thermoelasticity, J. Math. Anal. Appl., 232, (1999), 138-65. (with B. Lazzari e J. Monoz Rivera).

    93. An inverse problem in viscoelasticity, Sem. Mat. Fis. Univ. Modena., Suppl. al vol. XLVI, (1998) 697-708. In onore del 70 compleanno del prof. C. Vinti. ( with A. Hanyga).

    92. On rigid linear heat conductors with memory, Internat. J. Engrg. Sci, 36, (1998), 765-782.(With con G. Gentili & D. Reynolds)

    91. On thermodynamics of some phase change models, Atti del seminario matematico e sico di Milano, LXVI, (1998), 43-62. (With con G. Gentili)

    90. A non-local thermodynamic theory of superconductivity, Math. Mod. Math Appl. Sc., 7, no. 3 (1997), 345-362 (With con G. Gentili e B. Lazzari).

    89. Saint-Venant's principle in linear viscoelasticity. Internat. J. Engrg. Sci,, 35, (1997), 1221-236. (with S. Chirita, M. Ciarletta)

    88. Thermodynamics of electromagnetic systems with memory, Non equil. thermod., 22 (1997), 110-28 (With con A. Morro)

    87. Dissipation properties of complex systems, Open Systems & Information Dynamics. 5, (1998) 149-68.

    86. Free energy and stability for heat conductors with linear memory, Rend. Circolo Mat. Palermo, Serie 2, Suppl. 45 (1996), 221-229. ( With con G. Gentili & D. Reynolds)

    85. A non local thermodynamic theory of superconductivity. Symposium on: Gravitation, Electromagnetism and Geometrical Structures, Ed. G. Ferrarese. Pitagora, Bologna. 1996. ( with G. Gentili e B. Lazzari)

    84. A boundary condition with memory in electromagnetism, Arch. Rational Mech. Anal., 136 (1996), 359-381 (With con A. Morro)

    83. The domain of dependence inequality and asymptotic stability for a viscoelastic solid, in corso di stampa (with B. Lazzari)

    82. Internal dissipation, relaxation property, and free enegies in materials with memory, J. Elasticity, 40, (1995), 107-22. (With con A. Morro e C. Giorgi).

    81. Existence and uniqueness results for viscoelastic materials. On "Crack and Contact Problems for Viscoelastic Bodies" CISM Courses and Lectures. Ed. G.A.C. Graham and J.R. Walton, Springer Verlag, Wien - New York, 1995.

    80. A boundary condition with fading memory in electromagnetism, Convegno in onore di G. Krall, Pitagora Ed., Bologna. 1995.

    79. Further inequalities for viscoelastic relaxation functions, Mech. Res. Comm., 22, (1995), 349-353. (with A. Morro)

    78. Free energies and dissipation property for systems with memory, 7th Conference on Waves and Stability in Continuous Media. Ed. S. Rionero & T. Ruggeri. World Sc. Singapore. 1994. (With con C. Giorgi e A. Morro)

    77. Sul principio dell'azione ereditaria, Rendiconti dell'Accademia dei XL, Memorie di Matematica. 112 , 18, (1994), 133-41.

    76. Asymptotic stability for an electromagnetic system with fading memory boundary condition, Waves and Stability in Continuous Media. Ed. S. Rionero & T. Ruggeri. World Sc. Singapore. 1994.

    75. Su alcune importanti ricerche di Dario Gra , Acc. Naz. Sc. Let. Ar. Modena, Atti e Memorie, s.VII-Vol. X; (1994), 23-27.

    74. Introduzione alla Meccanica Razionale e ai suoi Metodi Matematici, Seconda edizione. Zanichelli, Bologna, 1994.

    73. Free energies and dissipation properties for systems with memory, Arch. Rational Mech. Anal., 125, (1994), 341-373. (With con C. Giorgi e A. Morro)

    72. Complex Systems: Dissipation and reversibility. Internat. J. Engrg. Sci,, 32, (1994) 1913-924

    71. Esistenza, unicit a e stabilit a asintotica per un sistema iperbolico con condizioni al contorno ereditarie. Rend. Matematica, s. VII, 23, (1993), 397-414. (with E. Santi)

    70. On asymptotic stability for linear viscoelastic fluids, D. Int. Equat., 6 (1993), 491-505. (with B. Lazzari).

    69. Commemorazione del prof. Dario Gra . Atti Acc. Sc. Ist. Bologna, s. XIV- Tomo IX, vol. II, (1993), 15-7.

    68. Sulla correttezza di un problema integrodi erenziale della viscoelasticit

    a. Seminari di Analisi . Dipartimento di Matematica . Universit a di Bologna. 1992.

    67. The comcept of dissipation in complex systems. Ricerche di Matematiche, vol. XLI (1992) - Supplemento - 123-32.

    66. Sull'invertibilit a della equazione costitutiva della viscoelasticit a lineare, Atti Accademia Nazionale dei Lincei. Rend.s.9, 3 (1992),141-48.

    65. Mathematical Problems in Linear Viscoelasticity. S.I.A.M. Studies in Applied Mathematics, Philadelphia, 1992.(with A. Morro).

    64. La Meccanica Razionale e i suoi Metodi Matematici, Ristampa ampliata. Zanichelli, Bologna, 1991.

    63. Stability problems for non-linear dissipative systems. Series on Advances in Mathematics for Applied Sciences - vol.4. Waves and Stability in Continuous Media. World Scienti c. Singapore 1991.

    62. Reversible processes in the thermodynamics of continuous media, J. Non-Equilib. Thermod., 16 , (1991), 1-2. (with Morro)

    61. Propriet a di stabilit a per sistemi con memoria. Atti Accademia Peloritana dei Pericolanti, 68 , (1990), 209-225. Volume in onore di G. Carini.

    60. Non unicita dell'energia libera per materiali viscoelastici. Atti Acc.Lincei Rend. s. (8) , 83 , (1989), 209-214. (with D. Graffi).

    59. Sulla nozione di stato per materiali viscoelastici di tipo "rate". Atti

    Acc.Lincei Rend. s. (8) , 83 , (1989), 201-208. (with D. Gra ).

    58. Phenomenological theories of superconductivity and superfluidity. "Macroscopic Theories of Superfluids. Ed. G. Grioli. Cambridge University Press. Cambridge, 1991.

    57. Mininum principles, convexity and thermodynamics in viscoelasticity, Continuous Mech. Thermodyn. 1, (1989) (with C. Giorgi e A. Morro).

    56. La Meccanica Razionale e i suoi Metodi Matematici, Zanichelli, Bologna,1989.

    55. Droga e entropia, Scienza e societa , 28-29, (1987), 15-9.

    54. Thermodynamics of linear viscoelasticity . Rend. Sem. Mat. Univ. Padova, 82, (1989), 239-255 (with A. Morro).

    53. Sulla stabilit a di un sistema viscoelastico lineare. Convegno Continui con Memoria, Acc. Naz. Lincei, Roma, 1990. (with B. Lazzari)

    52. On the stability of a linear viscoelastic solid system. Arch. Rational Mech.Anal., 116, (1991), 139-52. (with B. Lazzari)

    51. Propriet a e restrizioni costitutive per fluidi viscosi con memoria. Att. Sem.Mat.Fis.Modena, 37, (1989), 429-446.

    50. Sul Primo Principio della Termodinamica per i Materiali Semplici. Rend. Circolo Mat. Palermo, serie II, 37, (1988), 351-368 (with C.Giorgi).

    49. A new theory for the thermodynamics of biological systems. Atti del V Convegno "Onde e Stabilit a" Taormina, 1987.

    48. Stability in Linear Viscoelasticity, Italian-Polish Meeting, Pitagora, Bologna, 1987.

    47. The thermodynamic properties of biological systems. Symp.Kinetic Theory and Extended Thermodynamics. I. Muller, T. Ruggeri. Pitagora, Bologna 1987.

    46. A non-local theory of super fluidity. Rend.Acc.Naz.Lincei, 81, (1987), 55-60 (with G.Gentili).

    45. Sulla termodinamica dei materiali semplici. Boll.U.M.I., (6), V-B, 1986 (with C.Giorgi).

    44. An existence and uniqueness theorem in quasi-static viscoelasticity. Quart. Appl. Math., 47, (1989), 1-8.

    43. Thermodynamics and the constitutive relations for second sound in crystals. (In collab. con B.D. Coleman e D.R. Owen). New perspectives in Thermodynamics, J.Serrin editor, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1986. Vedi anche Corso CIME. 1982. Noto.

    42. Una teoria non locale della super fluidita' , B.U.M.I., (7) 1-A (1987), 97-05 (with A. Gentili).

    41. Sul problema di Fichera in viscoelasticit a lineare, Atti del IV Convegno "Onde e Stabillita", Bari, 1989.

    40. An uniqueness theorem for weak solutions of symmetric non linear hyperbolic systems, (with E. Santi). J.Di .Equation. 75, (1988), 43-52.

    39. Voce-quadro: Cinematica, Dizionario delle Scienze Fisiche. Istituto della Enciclopedia Italiana, Roma. 1988.

    38. Viscoelastic relaxation functions compatible with thermodynamics. J. of Elasticity, 19, (1988), 63-75 (with A.Morro).

    37. On uniqueness in linear viscoelasticity: A family of counterexamples, Quart. Appl.Math., XLV, (1987), 321-325. (with A.Morro).

    36. Una generalizzazione del teorema di Caprioli sull'esistenza di una energia di deformazione, Suppl. B.U.M.I. (Fisica Matematica), IV-5, n.1, 1985.

    35. Solutions in the variational sense for hyperbolic systems with unbounded coefficients, Arch. Mech., 39, (1987), 27-40 ( with A.Hanyga).

    34. Thermodynamic Restrictions on Relaxation Functions in Linear Viscoelasticity, Mech.Res.Comm., 12, 1985 (with A.Morro).

    33. La superconduttivita come teoria non locale, Rend.del Sem.Mat. e Fis. di Milano, 53, 1983 (with C.Giorgi).

    32. Mixed Problems for linear Hyperbolic Equation with unbounded coefficients. Atti del III Congresso Onde e Stabilit a - Cosenza 1983 (with A. Hanyga).

    31. Existence theorems for linear hyperbolic systems with unbounded coefficients, Ann.Univ.Ferrara, XXVIII, 1982 (with A. Hanyga).

    30. Macroscopic Theory of Superconductivity, Rivista di Matematica dell'Universita di Parma, 10, 1984 (with C. Giorgi).

    29. Entropy equation and absolute temperature for simple materials, Suppl.U.M.I., Fisica Matematica, 2, 1982.

    28. Esistenza e Unicit a per campi elettromagnetici stazionari con condizioni al contorno dissipative, Ann.Mat.Pura Appl., CXXXV, 1983 (with B.Lazzari).

    27. Equazione dell'Entropia e temperatura assoluta, Actualit es Mathematiques - Actes du VIo congr es du regroupement des math ematiciens d'expression Latine. Gauthier-Villars, Paris 1982.

    26. Il secondo suono nei cristalli: termodinamica ed equazioni costitutive, Rend.Sem.Mat. Univ. Padova, 68, 1982 (with B.Coleman e D.Owen).

    25. On the thermodynamics of second sound in dielectric crystals, Arch.Rational Mech.Anal., 80, 1982 (with B.Coleman e D.Owen).

    24. L'isteresi per un Sistema Elettromagnetico, Supp. U.M.I., Fisica Matematica, 1,1981 (with C.Giorgi).

    23. On the Thermodynamics of Material Systems, Meccanica, 14, 1981 (with B.Lazzari).

    22. Global theory for thermodynamic behaviour of a continuous medium, Ann.Univ. Ferrara, XXVII, 1981 (with C.Ban ).

    21. Sul concetto di sottocorpo nella meccanica dei continui, Rend.Acc.Naz.Lincei, LXCI, fasc.2, 1979 (with C.Ban ).

    20. Problemi di unicit a per le equazioni di Navier-Stokes in domini non limitati, Arch. Rational Mech. Anal., 68, 1978.

    19. Sulla nozione di stato per un elemento materiale, Boll.U.M.I., (5), 15-A,1978 (with C.Banfi).

    18. Sulla nozione di stato nella termodinamica dei continui, Corso CIME Liguori, Napoli, 1977.

    17. Teoria matematica per la termodinamica dei materiali elastici ed anelastici, Boll.U.M.I., (5), 13-B, 1976.

    16. Th eoremes d'unicit e sur un nouveau probleme aux limites relatif aux equations non ln eaires de Maxwell, Journal de Mecanique, 15, 4, 1976.

    15. Su una disequazione variazionale per le equazioni non lineari di Maxwell, Rend.Sem.Mat.Univ.Politecn.,Torino, 32,1974.

    14. Sulla convessit a dei potenziali termodinamici per materiali con memoria, Ann.Mat.Pura Appl., (IV), VI, 1974.

    13. Dualita e reciprocita per le equazioni non lineari dell'elettromagnetismo ereditario, Nota II, Rend.Acc.Naz.Lincei, LV, 1973.

    12. Dualita e reciprocita per le equazioni non lineari dell'elettromagnetismo

    ereditario, Nota I, Rend.Acc.Naz.Lincei, LV, 1973.

    11. Convessit a dei potenziali termodinamici nell'elettromagnetismo ereditario, Rend.Acc.Naz.Lincei, LV, 1973.

    10. Teoremi di approssimazione e restrizioni termodinamiche per le equazioni costitutive del campo elettromagnetico, Atti Acc.delle Scienze dell'Istituto di Bologna, (XII), X, 1973.

    9. Soluzioni generalizzate e diseguaglianze variazionali per alcuni sistemi differenziali non lineari della sica matematica, Ann.di Mat.Pura ed Applicata, XCV, 1973.

    8. Una teoria fenomenologica per la termodinamica del campo elettromagnetico, Boll.U.M.I.,(4), 4, 1971.

    7. Problemi di unicit a per le equazioni funzionali non lineari del campo elettromagnetico, Nota II, Rend.Acc.Naz.Lincei, 1970.

    6. Problemi di unicit a per le equazioni funzionali non lineari del campo elettromagnetico, Nota I, Rend.Acc.Naz. Lincei, 1970.

    5. Sui teoremi di unicit a e di reciprocit a nella teoria di un plasma caldo, Boll.U.M.I., (4), 4-5, 1969.

    4. La propagazione in un plasma "caldo" soggetto a un campo magnetico, Memorie Acc. delle Scienze di Torino, (4), 10, 1969.

    3. Sulla equazione di propagazione nei mezzi viscoelastici, Ist.Lom.di Scien. Lett., 102, 1968.

    2. Su una equazione integrodi erenziale per i mezzi dispersivi, Boll. U.M.I. (4),3,1968.

    1. Sugli assi singolari nei cristalli assorbenti, Atti del Sem. Mat. Fisico Univ. di Modena, XVI, 1967. 12    


1° schema (nel caso non si svolgano altri incarichi): Ai sensi dell'art. 15 co. 1 lett. c) del Decreto Legislativo 33/2013 ed in ottemperanza delle disposizioni del D.P.R. 445/2000 il sottoscritto Mauro Fabrizio nato a Bologna il 17.12.1940 Dichiara di NON svolgere incarichi, di NON avere titolarità di cariche di diritto privato regolati o finanziati dalla pubblica amministrazione e di NON di svolgere attività professionali.
In fede. M. Fabrizio

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