BLOWUP CRITERION FOR THE COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL IN 3D WITH VACUUM

In this article, we consider the blowup criterion for the local strong solution to the compressible fluid-particle interaction model in dimension three with vacuum. We establish a BKM type criterion for possible breakdown of such solutions at critical time in terms of both the L^∞ （0, T; L^6）-norm o...

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Bibliographic Details
Published in:Acta mathematica scientia 2016-07, Vol.36 (4), p.1030-1048
Main Author: 丁时进 黄丙远 卢友波
Format: Article
Language:English
Subjects:
35Q30
46E35
76N10
Blowup criterion
Breakdown
Compressibility
compressible fluid-particle interaction model
Criteria
Density
Mathematical analysis
Mathematical models
Tensors
Three dimensional models
vacuum
交互模型
可压缩流体
局部强解
爆破
相互作用模型
真空
速度梯度
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Summary:In this article, we consider the blowup criterion for the local strong solution to the compressible fluid-particle interaction model in dimension three with vacuum. We establish a BKM type criterion for possible breakdown of such solutions at critical time in terms of both the L^∞ （0, T; L^6）-norm of the density of particles and the ^L1（0, T; L^∞）-norm of the deformation tensor of velocity gradient.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30056-X