ON VORTEX ALIGNMENT AND THE BOUNDEDNESS OF THE Lq-NORM OF VORTICITY IN INCOMPRESSIBLE VISCOUS FLUIDS

李思然

首页> 中文期刊> 《数学物理学报：B辑英文版》 >ON VORTEX ALIGNMENT AND THE BOUNDEDNESS OF THE Lq-NORM OF VORTICITY IN INCOMPRESSIBLE VISCOUS FLUIDS

ON VORTEX ALIGNMENT AND THE BOUNDEDNESS OF THE Lq-NORM OF VORTICITY IN INCOMPRESSIBLE VISCOUS FLUIDS

开具论文收录证明 >>

期刊封面封底目录下载 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

We show that the spatial L q-norm(q>5/3)of the vorticity of an incompressible viscous fluid in R^3 remains bounded uniformly in time,provided that the direction of vorticity is Hölder continuous in space,and that the space-time L q-norm of vorticity is finite.The Hölder index depends only on q.This serves as a variant of the classical result by Constantin-Fefferman(Direction of vorticity and the problem of global regularity for the Navier-Stokes equations,Indiana Univ.J.Math.42(1993),775-789),and the related work by Grujić-Ruzmaikina(Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE,Indiana Univ.J.Math.53(2004),1073-1080).

著录项

来源
《数学物理学报：B辑英文版》 |2020年第6期|1700-1708|共9页
作者
李思然;
展开▼
作者单位

Department of Mathematics;

Rice University;

MS 136 P.O.Box 1892;

Houston;

Texas;

77251;

USA;

Current Address:Department of Mathematics;

New York University-Shanghai;

office 1146;

1555 Century Avenue;

Pudong;

Shanghai 200122;

China;

展开▼
原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Navier-Stokes equations; vorticity; regularity; vortex alignment; weak solution; strong solution; incompressible fluid;

ON VORTEX ALIGNMENT AND THE BOUNDEDNESS OF THE Lq-NORM OF VORTICITY IN INCOMPRESSIBLE VISCOUS FLUIDS

摘要

著录项

相关主题

期刊订阅