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 …

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 …

In this paper, we are concerned with the system of the compressible Navier–Stokes
equations coupled with the Maxwell equations through the Lorentz force in three space …

We propose a relaxation framework for general fluid models which can be understood as a
natural extension of the Suliciu approach in the Euler setting. In particular, the relaxation …

We study for the Richard–Gavrilyuk model of inclined shallow-water flow, an extension of the
classical Saint Venant equations incorporating vorticity, the new feature of convective-wave …

We consider systems of conservation laws derived from coupled fluid-kinetic equations
intended to describe particle-laden flows. By means of Chapman–Enskog type expansion …

Abstract The Shizuta–Kawashima condition plays the fundamental role in guaranteeing
global stability for systems of hyperbolic–parabolic/hyperbolic with relaxation. However …

This work considers a compressible, heat-conducting fluid exhibiting thermal relaxation
according to Christov's constitutive heat transfer law (Christov 2009 Mech. Res. Commun. 36 …

We consider a hyperbolic-parabolic model of vasculogenesis in the multidimensional case.
For this system we show the global existence of smooth solutions to the Cauchy problem …

This work concerns smooth solutions to the Cauchy problem for first-order partially
dissipative hyperbolic systems with a small parameter. The systems are written in non …