Acta mathematica scientia, Series B >
STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE
Received date: 2007-08-15
Revised date: 2008-04-11
Online 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
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.
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 . DOI: 10.1016/S0252-9602(10)60079-3
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