99-25
Asymptotic Stability of Relaxation Shock Profiles for Hyperbolic Conservation Laws
Preprint series: 99-25, Preprints
- MSC:
- 35L45 Initial value problems for hyperbolic systems of first-order PDE
- 35L65 Conservation laws
- 35B40 Asymptotic behavior of solutions
Abstract: This 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 lawa. 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.
Keywords: asymptotic stability
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