LINEARIZED NAVIER-STOKES EQUATIONS IN R3 : AN APPROACH IN WEIGHTED SOBOLEV SPACES

被引：4

作者：

Amrouche, Cherif ^{[1
]}

Meslameni, Mohamed ^{[1
]}

Necasova, Sarka ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, CNRS UMR 5142, Lab Math & Leurs Applicat, F-64013 Pau, France

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2014年 / 7卷 / 05期

关键词：

Generalized Oseen equations; weighted Sobolev spaces; the existence; the uniqueness; generalized solutions; strong solutions;

D O I：

10.3934/dcdss.2014.7.901

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the linearized Navier-Stokes equations in R-3, the Oseen equations. We are interested in the existence and the uniqueness of generalized and strong solutions in L-p-theory which makes analysis more difficult. Our approach rests on the use of weighted Sobolev spaces.

引用

页码：901 / 916

页数：16

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