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- W2091569215 abstract "Combining pointwise Green's function bounds obtained in a companion paper [36] with earlier, spectral stability results obtained in [16], we establish nonlinear orbital stability of small-amplitude Lax-type viscous shock profiles for the class of dissipative symmetric hyperbolic-parabolic systems identified by Kawashima [20], notably including compressible Navier-Stokes equations and the equations of magnetohydrodynamics, obtaining sharp rates of decay in Lp with respect to small L1 ∩ H3 perturbations, 2 ≤ p ≤ ∞. Our analysis extends and somewhat refines the approach introduced in [35] to treat stability of relaxation profiles. © 2004 Wiley Periodicals, Inc." @default.
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- W2091569215 date "2004-01-01" @default.
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- W2091569215 title "Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems" @default.
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- W2091569215 doi "https://doi.org/10.1002/cpa.20023" @default.
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