Sobolev stability of hydrostatic ideal MHD equations in a thin domain

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-27 DOI:10.1016/j.nonrwa.2025.104448

Tianyuan Yu

引用次数: 0

Abstract

In this paper, we study the two-dimensional ideal MHD equations in a thin domain. When the initial data is assumed to be a small perturbation of a positive background magnetic field, we prove the well-posedness of the re-scaled ideal MHD equations. Then we justify the limit from the re-scaled ideal MHD equations to the hydrostatic ideal MHD equations and obtain the precise convergence rate in

L^{\infty}

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薄域中流体静力理想MHD方程的Sobolev稳定性

本文研究了薄域上二维理想MHD方程。当初始数据被假设为一个正背景磁场的小扰动时，我们证明了重尺度理想MHD方程的适定性。然后，我们证明了从重尺度理想MHD方程到流体静力理想MHD方程的极限，得到了精确的L∞收敛速率。

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.