Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case

Abstract

Extending previous results of Oh–Zumbrun and Johnson–Zumbrun, we show that spectral stability implies linearized and nonlinear stability of spatially periodic travelingwave solutions of viscous systems of conservation laws for systems of generic type, removing a restrictive assumption that wave speed be constant to first order along the manifold of nearby… (More)

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