2D Navier-Stokes equation in Besov spaces of negative order

被引：4

作者：

Brzezniak, Zdzislaw ^{[2
]}

Ferrario, Benedetta ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 11期

关键词：

Navier-Stokes equations; Weak solutions; Existence uniqueness and regularity theory; EULER; FLOWS;

D O I：

10.1016/j.na.2008.08.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Navier-Stokes equation in the bidimensional torus is considered, with initial velocity in the Besov spaces B-pr(-s+2-2/r) and forcing term in L-r (0, T; B-pq(-s)) for suitable indices s, r, p, q, Results of local existence and uniqueness are proven in the case -1 < -s + 2 - 2/r < 0 and of global existence in the case -1/2 < -s + 2 - 2/r < 0. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3902 / 3916

页数：15

共 19 条

[1] Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy [J].