Global regularity of three-dimensional density patches for inhomogeneous incompressible viscous flow

被引：0
|
作者：
Xian Liao [1 ]
Yanlin Liu [2 ]
机构：
[1] Mathematisches Institut,Universit?t Bonn
[2] School of Mathematical Sciences,University of Science and Technology of China
来源：
Science China Mathematics | 2019年 / 62卷 / 09期
关键词：
inhomogeneous incompressible Navier-Stokes equations; density patch; striated distribution spaces;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Toward Lions’ open question in Lions(1996) concerning the propagation of regularity for density patch, we prove that the boundary regularity of the 3-D density patch persists by time evolution for inhomogeneous incompressible viscous flows, with the initial density given by(1-η)1?0+ 1?0cfor some small enough constant η and some Wk+2p,domain ?0, p ∈]3, ∞[, and with the initial velocity satisfying some smallness condition and appropriate conormal regularities.
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页码：1749 / 1764
页数：16
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