理想不可压缩磁流体力学的大磁场极限

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-07-11 DOI:10.1016/j.aml.2025.109676

Fei Jiang , Jiawei Wang , Xin Xu

引用次数: 0

摘要

本文研究了在背景磁场的丢芬图条件下，三维周期域中理想不可压缩磁流体动力学方程的大磁场极限。在不同的初始假设下，我们严格地证明了在不同拓扑下稳态解的收敛性。

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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Large magnetic field limit for ideal incompressible magnetohydrodynamics

This paper examines the large magnetic field limit for the ideal incompressible magnetohydrodynamic equations in a three-dimensional periodic domain, where the direction of the background magnetic field satisfies the Diophantine condition. Under distinct assumptions for the initial data, we rigorously justify the convergence of solutions to zero in varying topologies.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.