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arXiv · 2103.09615

Asymptotic stability of scalar multi-D inviscid shock waves

Denis Serre
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Abstract

In several space dimensions, scalar shock waves between two constant states u $\pm$ are not necessarily planar. We describe them in detail. Then we prove their asymptotic stability, assuming that they are uniformly non-characteristic. Our result is conditional for a general flux, while unconditional for the multi-D Burgers equation.

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Denis Serre. 2021-03-17. Asymptotic stability of scalar multi-D inviscid shock waves. https://arxiv.org/abs/2103.09615

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