STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

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

Abstract

Abstract:

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.

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

CLC Number:

76D03

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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