Foto del docente

Franca Franchi

Associate Professor

Department of Mathematics

Academic discipline: MAT/07 Mathematical Physics

Research

Keywords: non classical heat conduction and dual/third phase lag theoriess Non equilibrium Thermodynamics, wave propagation and stability chemotaxis and tumour growth: Cahn-Hilliard equation gravitational instability and gravitational waves Non isothermal bidispersive flow: structural stability and thermal convection air pollution models

Nonlinear partial differential equations and their application to several problems of real life in the context of (magneto)fluidodynamics, themodynamics and elasticity.


Generalized theories of heat conduction, with finite speed.
Nonequilibrium thermodynamics.
Navier-Stokes fluids and generalized theories of fluids of second and third grade.
Porous media and pollution models, within the Cahn-hilliard theory.
Linear and non-linear stability; structural stability.
Continuous dependence on data and uniqueness in direct and inverse problems.
Hyperbolic systems, properties of wave propagation and theorems on global existence.
Thermo-viscoelastic models of Johnson-Segalman type and their applicability in angiogenesis processes in blood.
Relaxation models for Astrophysical settings, within the stellar formation and magnetic reconnection mechanisms.
Dyadic type flux models of Korteweg type and Cahn-Hilliard, also in presence of non-Fourier heat conduction.
Non Fourier rigid heat conduction, related to the Green-Naghdi theory, and its connections with dual and triple phase lag theories.