Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-22 DOI:10.1016/j.nonrwa.2025.104370

Hua Qiu, Xia Wang

引用次数: 0

Abstract

In this note, we consider the stability problem of the 2D anisotropic Boussinesq equations near the hydrostatic equilibrium. Precisely, we obtain the global stability of smooth solution for the 2D Boussinesq equations with partial dissipation and horizontal diffusion in sense of

H^{3}

. Our result extends the recent stability results in Ji et al., (2019), Wei et al., (2021), Chen and Liu (2022).

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二维各向异性Boussinesq方程在流体静力平衡附近的全局稳定性

本文考虑二维各向异性Boussinesq方程在流体静力平衡附近的稳定性问题。准确地说，我们得到了H3意义下具有部分耗散和水平扩散的二维Boussinesq方程光滑解的全局稳定性。我们的结果扩展了Ji等人（2019），Wei等人（2021），Chen和Liu（2022）最近的稳定性结果。

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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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.