99-24

The $L^p$ Stability of Relaxation Rarefaction Profiles

by Liu, Hailiang

 

Preprint series: 99-24, Preprints

MSC:
35L45 Initial value problems for hyperbolic systems of first-order PDE
35L65 Conservation laws
35B40 Asymptotic behavior of solutions

 

Abstract: We consider the large time behavior of solutions for a hyperbolic relaxation system. For a certain class of initial data the solution is shown to converge to relaxation rarefaction profiles at a determined asymptotic rate. The result is established without the smallness conditions of the wave strength and the initial disturbances.

Keywords: Decay rate, rarefaction wave, relaxation


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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster