On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation

被引：0
|
作者：
Knobel, Niklas [1 ]
Zillinger, Christian [1 ]
机构：
[1] Karlsruhe Inst Technol, Englerstr 2, D-76131 Karlsruhe, Germany
来源：
JOURNAL OF NONLINEAR SCIENCE | 2025年 / 35卷 / 03期
关键词：
Magnetohydrodynamics; Partial dissipation; Stability threshold; COUETTE-FLOW; INSTABILITY; SYSTEM;
D O I：
10.1007/s00332-025-10148-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study the partial dissipation regime with full viscous and only horizontal magnetic dissipation. In particular, we show that this regime behaves qualitatively differently than both the fully dissipative and the non-resistive setting.
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页数：36
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