Scholarlink

<p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月9日

查看全文
  • Niklas Knobel,
  • Christian Zillinger

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.