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

doi:10.1016/S0252-9602(16)30056-X

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (4): 1030-1048.doi: 10.1016/S0252-9602(16)30056-X

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

丁时进¹, 黄丙远², 卢友波¹

1 School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2 College of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China

收稿日期:2015-06-28 修回日期:2016-01-25 出版日期:2016-08-25 发布日期:2016-08-25
通讯作者: Shijin DING,E-mail:dingsj@scnu.edu.cn E-mail:dingsj@scnu.edu.cn
作者简介:Bingyuan HUANG,E-mail:huangby04@126.com;Youbo LU,E-mail:Lyb0813@m.scnu.edu.cn
基金资助:
This work is supported by the National Basic Research Program of China (973 Program) (2011CB808002), the National Natural Science Foundation of China (11371152, 11128102, 11071086, and 11571117), the Natural Science Foundation of Guangdong Province (S2012010010408), the Foundation for Distinguished Young Talents in Higher Education of Guangdong (2015KQNCX095), the Major Foundation of Hanshan Normal University (LZ201403), and the Scientific Research Foundation of Graduate School of South China Normal University (2014ssxm04).

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

Shijin DING¹, Bingyuan HUANG², Youbo LU¹

1 School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;
2 College of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China

Received:2015-06-28 Revised:2016-01-25 Online:2016-08-25 Published:2016-08-25
Contact: Shijin DING,E-mail:dingsj@scnu.edu.cn E-mail:dingsj@scnu.edu.cn
Supported by:
This work is supported by the National Basic Research Program of China (973 Program) (2011CB808002), the National Natural Science Foundation of China (11371152, 11128102, 11071086, and 11571117), the Natural Science Foundation of Guangdong Province (S2012010010408), the Foundation for Distinguished Young Talents in Higher Education of Guangdong (2015KQNCX095), the Major Foundation of Hanshan Normal University (LZ201403), and the Scientific Research Foundation of Graduate School of South China Normal University (2014ssxm04).

摘要/Abstract

摘要：

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;L⁶)-norm of the density of particles and the L¹(0,T;L^∞)-norm of the deformation tensor of velocity gradient.

关键词: Blowup criterion, compressible fluid-particle interaction model, vacuum

Abstract:

Key words: Blowup criterion, compressible fluid-particle interaction model, vacuum

中图分类号:

35Q30

丁时进, 黄丙远, 卢友波. BLOWUP CRITERION FOR THE COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL IN 3D WITH VACUUM[J]. 数学物理学报(英文版), 2016, 36(4): 1030-1048.

Shijin DING, Bingyuan HUANG, Youbo LU. BLOWUP CRITERION FOR THE COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL IN 3D WITH VACUUM[J]. Acta mathematica scientia,Series B, 2016, 36(4): 1030-1048.

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

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

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