三维空间变量MHD边界层方程的适定性理论

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-07-25 DOI:10.1016/j.jde.2025.113650

Zhonger Wu

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引用次数: 0

摘要

用能量法研究了三维空间变量MHD边界层方程的适定性理论。在一个特殊的结构假设下，建立了MHD边界层方程解的局部存在唯一性。此外，我们还证明了该解对于任何光滑的三维扰动都是线性稳定的。

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A well-posedness theory for the MHD boundary layer equations in three space variables

We study the well-posedness theory for the MHD boundary layer equations in three space variables by energy method. The local-in-time existence and uniqueness of solutions for the MHD boundary layer equations are established under a special structural assumption. Moreover, we also show that this solution is linearly stable for any smooth three-dimensional perturbation.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics