ON CONTINUATION CRITERIA FOR THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN LORENTZ SPACES

被引:0
|
作者
王艳青 [1 ]
魏巍 [2 ]
吴刚 [3 ]
叶嵎林 [4 ]
机构
[1] Department of Mathematics and Information Science,Zhengzhou University of Light Industry
[2] Center for Nonlinear Studies,School of Mathematics,Northwest University
[3] School of Mathematical Sciences,University of Chinese Academy of Sciences
[4] School of Mathematics and Statistics,Henan University
基金
中国博士后科学基金;
关键词
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
In this paper,we derive several new sufficient conditions of the non-breakdown of strong solutions for both the 3 D heat-conducting compressible Navier-Stokes system and nonhomogeneous incompressible Navier-Stokes equations.First,it is shown that there exists a positive constant ε such that the solution(ρ,u,θ) to the full compressible Navier-Stokes equations can be extended beyond t=T provided that one of the following two conditions holds:■To the best of our knowledge,this is the first continuation theorem allowing the time direction to be in Lorentz spaces for the compressible fluid.Second,we establish some blow-up criteria in anisotropic Lebesgue spaces for the finite blow-up time T~*:■Third,without the condition on p in(0.1) and(0.3),the results also hold for the 3 D nonhomogeneous incompressible Navier-Stokes equations.The appearance of a vacuum in these systems could be allowed.
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收藏
页码:671 / 689
页数:19
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