带阻尼项的三维热带气候模型的全球吸引子

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-02-29 DOI:10.1007/s40840-024-01667-7

Rongyan Mao, Hui Liu, Fahe Miao, Jie Xin

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引用次数: 0

摘要

在本文中，我们考虑了三维热带气候模型，在u、v和（\theta \）方程中分别含有阻尼项。首先，我们得到了一些强解的均匀估计。其次，我们通过一些通常的不等式推导出在（4\le \alpha ,\beta<5\）和（\frac{13}{5}<\gamma<5\）情况下半群（\{S(t)\}_{t\ge 0}\）的连续性结果。最后，系统（1.1）被证明拥有一个（（{\mathbb {V}},{\mathbb {V}}）全球吸引子和（（（{\mathbb {V}},{\textbf{H}}^{2} ））全球吸引子。

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Global Attractors for the Three-Dimensional Tropical Climate Model with Damping Terms

In this paper, we consider the 3D tropical climate model with damping terms in the equation of u, v and \(\theta \), respectively. Firstly, we get some uniform estimates of strong solution. Secondly, we derive the result of the continuity of the semigroup \(\{S(t)\}_{t\ge 0}\) in case of \(4\le \alpha ,\beta <5\) and \(\frac{13}{5}<\gamma <5\) via some usual inequalities. Finally, the system (1.1) is shown to possess an \(({\mathbb {V}},{\mathbb {V}})\)-global attractor and an \(({\mathbb {V}},{\textbf{H}}^{2})\)-global attractor.

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.