99-24
The $L^p$ Stability of Relaxation Rarefaction Profiles
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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