Scholarlink

<p>In this paper, we study the zero-viscosity limit of the two-dimensional MHD equations in the mixed Prandtl-Shercliff regime. Under the assumption that the initial tangential magnetic field is a non-zero constant, we justify the zero-viscosity limit for Sobolev initial data and obtain the optimal convergence rate in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({L}^{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi>L</mi> </mrow> <mi>∞</mi> </msup> </math></EquationSource> </InlineEquation> space.</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

Zero-Viscosity Limit of the MHD Equations in the Mixed Prandtl-Shercliff Regime

  • 期刊论文

  • 发表日期：

    2025年12月5日

查看全文
  • Qi An,
  • Zhan Xu

摘要

In this paper, we study the zero-viscosity limit of the two-dimensional MHD equations in the mixed Prandtl-Shercliff regime. Under the assumption that the initial tangential magnetic field is a non-zero constant, we justify the zero-viscosity limit for Sobolev initial data and obtain the optimal convergence rate in \({L}^{\infty }\) L ∞ space.