无粘性地表准地转方程经典解的寿命

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-01 DOI:10.1016/j.anihpc.2020.12.005

Ángel Castro, Diego Córdoba, Fan Zheng

引用次数: 4

摘要

我们考虑无粘性表面准地转方程的经典解，这些解是来自径向稳定解θ=|x|的小扰动。我们使用一种修正的能量方法来证明经典解的存在时间从1到1的时间尺度。此外，通过在适当的方向上扰动，我们通过分岔构造了在时间和空间上均匀旋转的全局光滑解。

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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The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation

We consider classical solutions of the inviscid Surface Quasi-geostrophic equation that are a small perturbation ϵ from a radial stationary solution $θ = | x |$ . We use a modified energy method to prove the existence time of classical solutions from $\frac{1}{ϵ}$ to a time scale of $\frac{1}{ϵ^{4}}$ . Moreover, by perturbing in a suitable direction we construct global smooth solutions, via bifurcation, that rotate uniformly in time and space.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.