Asymptotic Stability of Relaxation Shock Pro les for Hyperbolic Conservation Laws
نویسنده
چکیده
This paper studies the asymptotic stability of traveling relaxation shock prooles 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.
منابع مشابه
Asymptotic stability of relaxation shock profiles for hyperbolic conservation laws
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 laws. The proof is due to the energy principle, using the weighted norms, the interaction of waves ...
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تاریخ انتشار 1998