Lp-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

被引：72

作者：

Geissert, Matthias ^{[1
]}

Heck, Horst ^{[1
]}

Hieber, Matthias ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2006年 / 596卷

关键词：

D O I：

10.1515/CRELLE.2006.051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the equations of Navier-Stokes in the exterior of a rotating domain. It is shown that, after rewriting the problem on a fixed domain W, the solution of the corresponding Stokes equation is governed by a C-0-semigroup on L-sigma(p)(Omega), 1 < p < infinity, with generator Au = P(Delta u + Mx (.) del u - Mu). Moreover, for p >= n and initial data u(0) epsilon L-sigma(p)(Omega), we prove the existence of a unique local mild solution to the Navier-Stokes problem.

引用

页码：45 / 62

页数：18

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