<p>In this paper, we consider the Cauchy problem of the <i>d</i>-dimensional damping incompressible magnetohydrodynamics system without dissipation. Precisely, this system includes a velocity damped term and a magnetic damped term. We establish the existence and uniqueness of global solutions to this damped system in the critical Besov spaces by means of the Fourier frequency localization and Bony paraproduct decomposition.</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

Global Solutions to the Damped Incompressible Magnetohydrodynamics System without Dissipation

  • Xu-long Qin,
  • Hua Qiu,
  • Zheng-an Yao

摘要

In this paper, we consider the Cauchy problem of the d-dimensional damping incompressible magnetohydrodynamics system without dissipation. Precisely, this system includes a velocity damped term and a magnetic damped term. We establish the existence and uniqueness of global solutions to this damped system in the critical Besov spaces by means of the Fourier frequency localization and Bony paraproduct decomposition.