vai alle Pubblicazioni
Pubblicazioni antecedenti il 2004
F. FRANCHI: Sulla propagazione del calore con velocità finita in un
fluido in moto; Acc.Naz. Lincei, Rendiconti, serie VII, LXII
(2), 212-219 (1977).
F. FRANCHI: Un teorema di unicità per l'equazione di propagazione
del calore con velocità finita; Atti Acc.Sci. Torino, 111, 273-277
(1976-77).
F. FRANCHI: Sulla propagazione delle onde termiche; Atti Acc.Sci.
Bologna, Rendiconti, serie XIII, tomo V, 266, 209-220 (1978).
F. FRANCHI: Un teorema di unicità per le equazioni di Boussinesq
modificate in base all'equazione di Cattaneo-Fox; Acc.Naz. Lincei,
Rendiconti, serie VIII, LXIV (3), 273-279 (1978).
F. FRANCHI: Sull'unicità delle soluzioni delle equazioni di
Boussinesq modificate in base all'equazione costitutiva di
Cattaneo-Fox in un dominio illimitato; Acc.Naz. Lincei, Rendiconti,
serie VIII, LXV, (6), 275-281 (1979).
F. FRANCHI: Un teorema di unicità per la propagazione del calore
per convezione forzata con velocità finita in un dominio
illimitato; Atti Acc.Sci. Torino, 113, 33-37 (1979).
F.FRANCHI: Sulla propagazione di onde in un fluido viscoso non
stokesiano; Atti Acc.Sci. Bologna, Rendiconti, serie XIII,
tomo VI, 267, 175-189 (1979).
F. FRANCHI: Sulla propagazione di onde d'accelerazione in un fluido
termoviscoso non stokesiano che soddisfa il principio di
oggettività; Boll. U.M.I. (5), 18-B, 1035-1053 (1981).
F. FRANCHI: On the Behaviour of One-Dimensional Waves in
Thermo-Viscoelastic Fluids; Meccanica, 17, 3-10 (1982).
F. FRANCHI, B. STRAUGHAN: A Priori Bounds in the Bénard
Problem with Boundaries of Finite Conductivity; Rend. Circ. Mat.
Palermo (2), 32, 208-216 (1983).
F. FRANCHI, A. MORRO: Continuous Dependence and Uniqueness for Heat
Conducting Viscous Fluids in Bounded Domains; Rend. Circ. Mat.
Palermo (2), 33, 145-158 (1984).
F. FRANCHI, B. STRAUGHAN: Bénard Convection and the Cattaneo Law of
Heat Conduction; Proc. Royal Soc. Edinburgh 96A, 175-178
(1984).
F. FRANCHI: Growth Estimates in Linear Elasticity with Sublinear
Body Force Without Definiteness Conditions on the Elasticities;
Proc. Edinburgh Math. Soc. 27, 223-228 (1984).
F. FRANCHI: Wave Propagation in Heat Conducting Dielectric Solids
with Thermal Relaxation and Temperature Dependent Electric
Permittivity; Riv. Mat. Univ. Parma (4), 11, 443-461 (1985).
F. FRANCHI, A. MORRO: Domain of Influence in Nonlinear Heat
Conduction; Atti Sem. Mat. Fis. Univ. Modena (2), 33, 247-262
(1984).
F. FRANCHI, B. STRAUGHAN: Convection, stability and uniqueness for
a fluid of third grade; Int. J. Non-Linear Mechanics, (5/6) 23,
377-384 (1988).
F. FRANCHI, B. STRAUGHAN: A nonlinear energy stability analysis of
a model for deep convection; International J. Eng. Science,
30, 739-745 (1992).
F.FRANCHI, B. STRAUGHAN: Nonlinear stability for thermal convection
in a micropolar fluid with temperature dependent viscosity;
International J. Eng. Science, 30 1349-1360 (1992).
F. FRANCHI, B. STRAUGHAN: Natural stabilization for fluids of third
grade and of dipolar type; Riv. Mat. Univ. Parma (5), 1, 77-90
(1992).
F. FRANCHI, B. STRAUGHAN: Continuous dependence on the body force
for solutions to the Navier-Stokes equations and on the heat
supply in a model for double diffusive porous convection; J.
Math. Anal. Appl., 172, 117-129 (1993).
F. FRANCHI, B. STRAUGHAN: Stability and non existence results in
the generaliezd theory of a fluid of second grade; J. Math. Anal.
Appl. 180, 122-137 (1993).
F. FRANCHI, B. STRAUGHAN: Continuous dependence on modelling in
penetrative convection with a nonlinear equation of
state, Riv. Mat. Univ. Parma (5), 2 (1993).
F. FRANCHI, A. MORRO: Global existence and asymptotic stability of
equilibrium in non-linear heat conduction J. Math. Anal. Appl. 188
(1994), 590-609.
F. FRANCHI: Stabilization estimates for penetrative motions in
porous media; Math. Meth. in the Applied Sciences, 17, 11-20
(1994).
F. FRANCHI, B. STRAUGHAN: Thermal convection at low temperature, J.
Non-Equilibrium Thermodyn. 19, 368-374 (1994).
F. FRANCHI, B. STRAUGHAN: Spatial decay estimates and continuous
dependence on modelling for an equation from dynamo theory; Proc.
Roy. Soc. London, A, 445, 437-451 (1994).
F. FRANCHI, B. STRAUGHAN: Continuous dependence on the relaxation
time and modelling, and unbounded growth, in theories of heat
conduction with finite propagation speeds; J. Math. Anal.
Appl. 185 726-746, (1994).
F. FRANCHI, B. STRAUGHAN: Effects of errors in the initial-time
geometry on the solution of an equation from dynamo theory in an
exterior domain; Proc. Roy. Soc. London, A, 450,
109-121 (1995).
F. FRANCHI, B. STRAUGHAN: Structural stability for the Brinkman
Equations in Porous Media; Math. Meth. in the Appl. Sci., 19,
1335-1347 (1996).
F. FRANCHI, B. STRAUGHAN: A comparison of the Graffi and
Kazhikov-Smagulov models for top heavy pollution instability;
Advances in Water Resources 24 (2001), 585-594
F. FRANCHI, B. STRAUGHAN: Convection, Diffusion and Pollution: The
Model of Dario Graffi; in "Proceedings of the Conference: Nuovi
Progressi nella Fisica Matematica dall'Eredità di Dario Graffi";
Atti dei Convegni Lincei 177; Roma 2002, pp. 257-265
F. FRANCHI, B. STRAUGHAN: Continuous dependence and decay for the
Forchheimer equations; Proc. R. Soc. London A 459 (2003),
3195-3202
M. FABRIZIO, F. FRANCHI, B. STRAUGHAN: On a model for
thermo-poroacoustic waves; Int. J. Engn. Sci. 46 (2008),
790-798
G. AMENDOLA, M. FABRIZIO, F. FRANCHI: On the minimum free energy
for a rigid heat conductor with memory effects; Non linear Dynamics
and systems. 9(2009), 333-360
M. FABRIZIO, F. FRANCHI: Delayed thermal models. Stability and
thermodynamics; Journal of Thermal Stresses, 37 (2014),
160-173, published on line 19/12/ 2013 DOI
10.1080/01495739.2013.839619
F. FRANCHI, R. NIBBI, B. LAZZARI: Uniqueness and stability results
for non-linear Johnson-Segalman viscoelasticity and related models;
DCDS-B, 19 (2014), 2111-2132
F. FRANCHI, R. NIBBI, B. LAZZARI: The gravitational instability of
a non-ideal Johnson-Segalman viscoelastic plasma; preprint
(2013).
F. FRANCHI, R. NIBBI, B. LAZZARI: A delayed hydrodynamic model for
chemotactic processes in angiogenesis versus astrophysical
mechanisms; preprint (2014).
F. FRANCHI, R. NIBBI, B. LAZZARI: On the asymptotic stability for
Kirchhoff plates with viscoelastic dissipation; in corso di stampa su Meccanica (2017).
F. FRANCHI, R. NIBBI, B.LAZZARI: Kirchhoff plates with viscous
boundary dissipation; Meccanica, 49 (2014), 2247-2255
F. FRANCHI, R.NIBBI, B. LAZZARI: Mathematical models for the
non-isothermal Johnson-Segalman viscoelasticity in porous media:
stability and wave propagation; pubblicato on line dicembre 2014,
in corso di stampa su Math.Meth.in the Appl.Sci. (2015).
M. FABRIZIO, F. FRANCHI: On a non-isothermal fractional
Cahn-Hilliard model within a revisited Green-Naghdi type III
theory; preprint.
M. FABRIZIO, F. FRANCHI: Delayed nonlinear rigid heat conduction
theories: relations with lagging models and stability analysis;
preprint.
F. FRANCHI, R. NIBBI, B. LAZZARI: The J.S. model versus a non-ideal
MHD theory; Physics Letters A, 379 (2015), 1431-1436
F.FRANCHI, B.LAZZARI, R.NIBBI, B.STRAUGHAN: Uniqueness and decay in local thermal non-equilibrium double porosity thermoelasticity; Math Meth Appl Sci. 20181-9. https://doi.org/10.1002/mma.5190
M.FABRIZIO, F.FRANCHI, B.LAZZARI, R.NIBBI: A non-isothermal compressible Cahn-Hilliard model for air pollution phenomena, Physica D (2018), https://doi.org/ 10.1016/j.physd.2018.05.003.