The 2<i>D</i>MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

• 作者: Xiaoting Yang
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: MHD Equation Global REGULARITY VERTICAL DISSIPATION
• 年，卷（期）: 2019,（2）
• 页码范围: 81-96
• 页数: 16页
• 分类号: O1

摘要

In this paper, we study the global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic dissipation. We show that any solution of the second component (u2, b2) has a global L2r -bound, where r satisfies and the boundary does not grow faster than??as r increases.