关于固定热带气候模式的各向异性柳维尔定理的评论

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-10-17 DOI:10.1007/s10440-024-00691-w

Huiting Ding, Fan Wu

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引用次数: 0

摘要

本文研究了热带气候模型在整个空间（\mathbb{R}^{3}\）上静止的Liouville类型定理。结果表明，如果 \((u,v,\theta ))满足某些各向异性的可整性条件，那么在 \(u\) 或 \((u,v)\) 的分量上，同时 \(\theta \) 也满足某些各向同性的可整性条件，那么静止热带气候模型只有一个微不足道的解。这些结果是 Chae (Appl. Math. Lett. 142:108655, 2023) 近期工作的进一步扩展。

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Remarks on the Anisotropic Liouville Theorem for the Stationary Tropical Climate Model

This paper studies the Liouville type theorems for stationary the tropical climate model on the whole space \(\mathbb{R}^{3}\). It shows that if \((u,v,\theta )\) satisfies certain anisotropic integrability conditions on the components of the \(u\) or \((u,v)\), also \(\theta \) satisfies certain isotropic integrability conditions, there is only a trivial solution to the stationary tropical climate model. The results are a further extension of the recent work by Chae (Appl. Math. Lett. 142:108655, 2023).

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.