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.
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
Hyperbolic systems, properties of wave propagation and theorems on
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