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arXiv · 1001.0404

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

Mathew A. Johnson·Kevin Zumbrun
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Abstract

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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Mathew A. Johnson, Kevin Zumbrun. 2010-01-07. Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case. https://arxiv.org/abs/1001.0404

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