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1999-24

The $L^p$ Stability of Relaxation Rarefaction Profiles

by Liu, Hailiang.


Series: 1999-24, Preprints

MSC:
35L45 Initial value problems for first-order hyperbolic systems
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