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 …

This memoir attempts at a systematic study of convergence to stationary state for certain
classes of degenerate diffusive equations, taking the general form ${\frac {\partial f}{\partial …

This paper presents a general result on the existence of global smooth solutions to
hyperbolic systems of balance laws in several space variables. We propose an entropy …

We study the asymptotic time behavior of global smooth solutions to general entropy,
dissipative, hyperbolic systems of balance laws in m space dimensions, under the Shizuta …

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 …

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 …

In this paper, we introduce an entropy condition for hyperbolic systems of balance laws.
Under this condition, we use the Chapman-Enskog expansion to derive the corresponding …

We study the decay property for the Euler-Maxwell system in R3 and observe that it is of the
regularity-loss type. We show that the solution decays at the rate t-3/4 as t! 1, provided that …