The book aims to present the recent developments in Rational Extended Thermodynamics
(RET) of gases in both classical and relativistic cases. The RET theory is a …

We present the state of the art on the modern mathematical methods of exploiting the
entropy principle in thermomechanics of continuous media. A survey of recent results and …

This work is concerned with (n-component) hyperbolic systems of balance laws in m space
dimensions. First, we consider linear systems with constant coefficients and analyze the …

We are concerned with quasilinear symmetrizable partially dissipative hyperbolic systems in
the whole space R d with d≥ 2. Following our recent work dedicated to the one-dimensional …

Here we investigate global strong solutions for a class of partially dissipative hyperbolic
systems in the framework of critical homogeneous Besov spaces. Our primary goal is to …

The aim of this paper is to show that the procedure of maximum entropy principle for the
closure of the moments equations for rarefied monatomic gases can be extended also to …

We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible
Porous Media equation (IPM) for initial perturbations in H˙ 1-τ (R 2)∩ H˙ s (R 2) with s> 3 …

Here we develop a method for investigating global strong solutions of partially dissipative
hyperbolic systems in the critical regularity setting. Compared to the recent works by …

Many physical phenomena may be modeled by first order hyperbolic equations with
degenerate dissipative or diffusive terms. This is the case for example in gas dynamics …

We propose large time step and asymptotic preserving schemes for the gas dynamics
equations with external forces and friction terms. By asymptotic preserving, we mean that the …