具有部分粘性和阻尼的三维广义热带气候模型的全局平稳解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-30 DOI:10.1016/j.jmaa.2024.129007

Hui Liu , Chengfeng Sun , Mei Li

引用次数: 0

摘要

本文考虑了具有部分粘性和阻尼的三维广义热带气候模型。证明了具有部分粘性和阻尼的三维广义热带气候模型解在 α≥32 和 β≥4 时的全局平稳性。在 Hs(R3) (s>2) 中证明了具有部分粘性和阻尼的三维广义热带气候模型在 α≥32 和 4≤β≤5 时的全局平稳解。

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Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping

The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for

α \geq \frac{3}{2}

and

β \geq 4

. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in

H^{s} (R^{3})

(s > 2)

for

α \geq \frac{3}{2}

and

4 \leq β \leq 5

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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.