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arXiv · 2501.18789

Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation

Zhao Yang·Kevin Zumbrun
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Abstract

By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic $L^1\cap H^3$ stability results of Mascia and Zumbrun for viscous shock waves, in particular extending their results for Lax waves to the undercompressive case.

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Zhao Yang, Kevin Zumbrun. 2025-01-30. Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation. https://arxiv.org/abs/2501.18789

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