具有速度阻尼项的三维Boussinesq方程解的最优衰减率

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-02-18 DOI:10.1016/j.na.2025.113775

Lihua Dong

引用次数: 0

摘要

研究了三维Boussinesq方程在全空间R3中速度方程中有阻尼项的平稳解的渐近稳定性。确切地说，解的衰减率在某种意义上是最优的，因为这些速率与线性化方程的衰减率一致。

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The optimal decay rates for solutions to the 3D Boussinesq equations with a velocity damping term in R3

This paper is concerned with asymptotic stability of certain stationary solution to the 3D Boussinesq equations in the whole space

R^{3}

with a damping term in the velocity equation. Precisely, the decay rates of solutions is optimal in sense that these rates coincide with that of the linearized equations.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.