Abstract
where (x, t) # R_R+ . The unknowns u, v belong to R, the function f = f (u) is in C(R), and :>0 is a fixed constant. Relaxation systems often arise in many physical situations. Let us recall, for example, gases not in thermodynamic equilibrium [VK], kinetic theory [Ce, CIP, PI], chromatography [RAA], river flows, traffic flows, and more general waves [Wh]. More recently the study of a special class of hyperbolic systems with relaxation was developed in view of the numerical approximation of discontinuous solutions of conservation laws [JX, AN]. The 2_2 relaxation hyperbolic systems of conservation laws were first analyzed by Liu [Li2], who justified some nonlinear stability criteria for diffusion waves, expansion waves and traveling waves. article no. 0180
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