标量多维无粘激波的渐近稳定性

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2021-03-17 DOI:10.5802/aif.3569

D. Serre

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引用次数: 1

摘要

在若干空间维度中，两个常态之间的标量激波不一定是平面的。我们将详细描述它们。然后我们证明了它们的渐近稳定性，假设它们是一致非特征的。我们的结果对于一般通量是有条件的，而对于多维Burgers方程是无条件的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic stability of scalar multi-D inviscid shock waves

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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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.