科研新闻
   新闻动态
      图片新闻
      头条新闻
      综合新闻
      科研新闻
      人物风采
      季度通讯
现在位置:首页 > 新闻动态 > 科研新闻
(张平)Global smooth axisymmetric solutions of 3-D Inhomogenenous incompressible Navier-Stokes system
2014-09-09 | 编辑:

  论文题目:Global smooth axisymmetric solutions of 3-D Inhomogenenous incompressible Navier-Stokes system

  论文作者:Hammadi Abidi, Ping Zhang(张平)

  文章介绍:

  In this paper, we investigate the global regularity to 3-D inhomogeneous incompressible Navier-Stokes system with axisymmetric initial data which does not have swirl component for the initial velocity. We first prove that the $L^\infty$ norm to the quotient of the inhomogeneity by $r,$ namely $a/r\eqdefa\bigl(1/\r-1\bigr)\bigl/r,$ controls the regularity of the solutions. Then we prove the global regularity of such solutions provided that the $L^\infty$ norm of $a_0/r$ is sufficiently small. Finally, with additional assumption that the initial velocity belongs to $L^p$ for some $p\in [1,2),$ we prove that the velocity field decays to zero with exactly the same rate as the classical Navier-Stokes system.

  所属学科:偏微分方程

  所属实验室或研究中心:数学所

  论文:http://arxiv.org/abs/1409.2953

  

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接