Strong solutions for a compressible fluid model of Korteweg type

被引：116

作者：

Kotschote, Matthias ^{[1
]}

机构：

[1] Univ Leipzig, Math Inst, D-04009 Leipzig, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2008年 / 25卷 / 04期

关键词：

Korteweg model; compressible fluids; parabolic systems; maximal regularity; H(infinity)-calculus; inhomogeneous boundary conditions;

D O I：

10.1016/j.anihpc.2007.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of local strong solutions for an isothermal model of capillary compressible fluids derived by J.E. Dunn and J. Serrin (1985). This nonlinear problem is approached by proving maximal regularity for a related linear problem in order to formulate a fixed point equation, which is solved by the contraction mapping principle. Localising the linear problem leads to model problems in full and half space, which are treated by Dore-Venni Theory, real interpolation and H(infinity)-calculus. For these steps, it is decisive to find conditions on the inhomogeneities that are necessary and sufficient. (C) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：679 / 696

页数：18

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