Add to ORKGThis paper studies the asymptotic stability of traveling relaxation shock profiles for hyperbolic systems of conservation laws. Under a stability condition of subcharacteristic type the large time relaxation dynamics on the level of shocks is shown to be determined by the equilibrium conservation laws. The proof is due to the energy principle, using the weighted norms, the interaction of waves from various modes is treated by imposing suitable weight matrix. (orig.)Available from TIB Hannover: RR 4487(1999,25) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDeutsche Forschungsgemeinschaft (DFG), Bonn (Germany)DEGerman
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AbstractExtending to systems of hyperbolic–parabolic conservation laws results of Howard and Zumbrun...
In this paper we consider a 2_2 relaxation hyperbolic system of conservation laws with a boundary ef...
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AbstractA relaxation model was proposed in [Shi Jin and Zhouping Xin,Comm. Pure Appl. Math.48(1995),...
AbstractIn this paper we study the asymptotic equivalence of a general system of 1-D conservation la...
AbstractWe investigate stability of multidimensional planar shock profiles of a general hyperbolic r...
Abstract. We examine the spectrum of shock profiles for the Jin-Xin relaxation scheme for systems of...
We investigate stability of multidimensional planar shock profiles of a general hyperbolic relaxatio...
We consider the large time behavior of solutions for a hyperbolic relaxation system. For a certain c...
Building on previous analyses carried out in [Mascia and Zumbrun, Indiana Univ. Math. J., 51 (2002),...
AbstractThis paper is concerned with the linearized stability of traveling wave solutions for system...
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We establish sharp pointwise Green's function bounds and consequent linearized stability for smooth ...
We consider the large time behavior of solutions for a hyperbolic relaxation system. For a certain c...
AbstractExtending to systems of hyperbolic–parabolic conservation laws results of Howard and Zumbrun...
In this paper we consider a 2_2 relaxation hyperbolic system of conservation laws with a boundary ef...
For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we pro...