STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

doi:10.1016/S0252-9602(10)60079-3

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (3): 799-809.doi: 10.1016/S0252-9602(10)60079-3

STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

谭忠, 王焰金

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

收稿日期:2007-08-15 修回日期:2008-04-11 出版日期:2010-05-20 发布日期:2010-05-20
基金资助:
Supported by NSF (10531020) of China and the Program of 985 Innovation Engineering on Information in Xiamen University (2004-2007) and NCETXMU

STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

TAN Zhong, WANG Yan-Jin

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received:2007-08-15 Revised:2008-04-11 Online:2010-05-20 Published:2010-05-20
Supported by:
Supported by NSF (10531020) of China and the Program of 985 Innovation Engineering on Information in Xiamen University (2004-2007) and NCETXMU

摘要/Abstract

摘要：

In this article, we are concerned with the strong solutions for the incompressible fluid models of Korteweg type in a bounded domain Ω ( R³. We prove the existence and uniqueness of local strong solutions to the initial boundary value problem. We point out that in this article we allow the existence of initial vacuum provided initial data satisfy a compatibility condition.

关键词: Korteweg model, strong solutions, incompressible fluids, Navier-Stokes equations, vacuum

Abstract:

Key words: Korteweg model, strong solutions, incompressible fluids, Navier-Stokes equations, vacuum

中图分类号:

76D03

谭忠, 王焰金. STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE[J]. 数学物理学报(英文版), 2010, 30(3): 799-809.

TAN Zhong, WANG Yan-Jin. STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE[J]. Acta mathematica scientia,Series B, 2010, 30(3): 799-809.

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STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

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