Stability of Viscous Shock Profiles for Dissipative Symmetric Hyperbolic-parabolic Systems
نویسنده
چکیده
Combining pointwise Green’s function bounds obtained in a companion paper [MZ.2] with earlier, spectral stability results obtained in [HuZ], we establish nonlinear orbital stability of small amplitude viscous shock profiles for the class of dissipative symmetric hyperbolic-parabolic systems identified by Kawashima [Kaw], notably including compressible Navier–Stokes equations and the equations of magnetohydrodynamics, obtaining sharp rates of decay in L with respect to small L ∩H perturbations, 2 ≤ p ≤ ∞. Our analysis follows the approach introduced in [MZ.1] to treat stability of relaxation profiles. Section
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تاریخ انتشار 2001