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

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

2010-01-03

arxiv.org/abs/1001.0404v2

Mathematics

Analysis of PDEs

Fixed minor typos

Scientific paper

Extending previous results of Oh--Zumbrun and Johnson--Zumbrun, we show that
spectral stability implies linearized and nonlinear stability of spatially
periodic traveling-wave 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 periodic solutions.

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