Global well-posedness of the free-surface incompressible ideal MHD equations with velocity damping

被引：0

作者：

Liu, Mengmeng ^{[1
]}

Jiang, Han ^{[2
]}

Zhang, Yajie ^{[3
]}

机构：

[1] Huaibei Normal Univ, Sch Math & Stat, Huaibei 235000, Anhui, Peoples R China

[2] Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Peoples R China

[3] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2024年 / 75卷 / 06期

关键词：

Non-resistive MHD fluids; Inviscid fluids; Damping; Free boundary; Global well-posedness; FREE-BOUNDARY PROBLEM; WATER-WAVE PROBLEM; EULER EQUATIONS; SOBOLEV SPACES; TENSION LIMIT; MOTION; MAGNETOHYDRODYNAMICS; FLUID; DECAY;

D O I：

10.1007/s00033-024-02337-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the free-surface problem of incompressible ideal MHD fluids with velocity damping in a two-dimensional (2D) horizontally periodic slab domain impressed by a uniform horizontal magnetic field. We prove that the problem is globally well-posed for the small initial data and the solution decays exponentially in time to the equilibrium, where both the Taylor sign condition and the surface tension are not required in this paper due to the stabilizing effect of horizontal magnetic field.

引用

页数：15

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