Existence of strong travelling wave profiles to 2×2 systems of viscous conservation laws

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Original languageEnglish
Pages (from-to)1843-1849
Journal / PublicationProceedings of the American Mathematical Society
Issue number6
Publication statusPublished - Jun 2007


In this paper, we prove the existence of strong travelling wave profiles for a class of 2 × 2 viscous conservation laws when the corresponding invisid systems are hyperbolic. Besides some technical assumptions, the only main assumption is the hyperbolicity. Therefore, the existence theory can be applied to systems which are not strictly hyperbolic. Moreover, the characteristic fields can be neither genuinely nonlinear nor linearly degenerate. © 2007 American Mathematical Society.

Research Area(s)

  • A priori estimate, Travelling wave profile, Viscous conservation laws