On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition

被引：9

作者：

Bellout, Hamid ^{[1
]}

Neustupa, Jiri ^{[2
]}

Penel, Patrick ^{[3
,4
]}

机构：

[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[2] Czech Tech Univ, Fac Mech Engn, Dept Tech Math, Prague 12135 2, Czech Republic

[3] Univ Sud Toulon Var, Dept Math, F-83957 La Garde, France

[4] Univ Sud Toulon Var, Lab SNC, F-83957 La Garde, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 19-20期

关键词：

D O I：

10.1016/j.crma.2009.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Provided the initial velocity and the external body force are sufficiently smooth, there exist T(0) > 0, nu* > 0 and a unique continuous family of strong solutions u(v) (0 <= nu <= nu*) of the Euler or Navier-Stokes initial-boundary value problem on the time interval (0, T(0)). The solutions of the Navier-Stokes problem satisfy a Navier-type boundary condition. To cite this article: H. Bellout et al., C R. Acad. Sci. Paris, Ser. 1347 (2009). (C) 2009 Published by Elsevier Masson SAS on behalf of Academie des sciences.

引用

页码：1141 / 1146

页数：6

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