Lq-APPROACH OF WEAK SOLUTIONS TO STATIONARY ROTATING OSEEN EQUATIONS IN EXTERIOR DOMAINS

被引：0

作者：

Kracmar, S. ^{[1
]}

Necasova, S. ^{[2
]}

Penel, P. ^{[3
]}

机构：

[1] Czech Tech Univ, Dept Tech Math, FS CVUT, Prague 12135 2, Czech Republic

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[3] Univ Sud, Dept Math & Lab SNC, F-83957 La Garde, France

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2010年 / 68卷 / 03期

关键词：

Rotating body; stationary Oseen flow; weak solution; L-q approach; exterior domain; NAVIER-STOKES FLOW; FLUID; OPERATOR;

D O I：

10.1090/S0033-569X-10-01210-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence and uniqueness of a weak solution of the three-dimensional nonhomogeneous stationary Oseen flow around a rotating body in an exterior domain D. We mainly use the localization procedure (see Kozono and Sohr (1991)) to combine our previous results (see Kracmar, Necasova, and Penel (2007, 2008)) with classical results in an appropriate bounded domain. We study the case of a nonintegrable right-hand side, where f is given in ((W) over cap (-1,q)(D))(3) for certain values of q.

引用

页码：421 / 437

页数：17