无粘表面准地转方程的光滑行波解

arXiv: Analysis of PDEs Pub Date : 2020-10-18 DOI:10.5802/CRMATH.159

Ludovic Godard-Cadillac

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引用次数: 15

摘要

在Gravejat和Smets最近的一篇文章中，建立了具有行波形式的无粘表面准地转方程的光滑解。在本文中，我们回到它们的构造，以提供一类更一般的拟地转方程的解，其中半拉普拉斯式被任何分数拉普拉斯式取代。

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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Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations

In a recent article by Gravejat and Smets, it is built smooth solutions to the inviscid surface quasi-geostrophic equation that have the form of a traveling wave. In this article we work back on their construction to provide solution to a more general class of quasi-geostrophic equation where the half-laplacian is replaced by any fractional laplacian.

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来源期刊

arXiv: Analysis of PDEs

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