Scholarlink

<p>In this paper, we consider the regularity of 3D inhomogeneous incompressible magnetohydrodynamic (MHD) equations with initial vacuum, and establish a new regularity criterion in terms of only infinite modulus of gradient of velocity, which is known for the incompressible/compressible MHD equations. As far as we know, the result obtained in this paper is the first BKM type criterion for 3D inhomogeneous incompressible MHD equations with initial vacuum. In addition, we establish the blow-up criterion for the inhomogeneous incompressible Navier-Stokes equations.</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

A BKM type blow-up criterion of strong solutions to the 3D inhomogeneous incompressible magnetohydrodynamic equations with initial vacuum

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月4日

查看全文
  • Menglong Su

摘要

In this paper, we consider the regularity of 3D inhomogeneous incompressible magnetohydrodynamic (MHD) equations with initial vacuum, and establish a new regularity criterion in terms of only infinite modulus of gradient of velocity, which is known for the incompressible/compressible MHD equations. As far as we know, the result obtained in this paper is the first BKM type criterion for 3D inhomogeneous incompressible MHD equations with initial vacuum. In addition, we establish the blow-up criterion for the inhomogeneous incompressible Navier-Stokes equations.