Orbital stability of undercompressive viscous shock waves under L1 H4 perturbation
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 L1 H3 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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