A Remark on the Stokes Problem with Initial Data in L1

被引：17

作者：

Maremonti, P. ^{[1
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2011年 / 13卷 / 04期

关键词：

Stokes problem; well-posedeness;

D O I：

10.1007/s00021-010-0036-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we study the initial boundary value problem of the Stokes system. We assume the initial data belonging to the Lebesgue space L-1. We develop a suitable approach to discuss the existence, uniqueness and continuous dependence on the data. As matter of course, we also consider the case of the Lebesgue space L-p, p is an element of (1,infinity).

引用

页码：469 / 480

页数：12

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