Lq-theory of the Kelvin-Voigt equations in bounded domains

被引：14

作者：

Damazio, Pedro D. ^{[1
]}

Manholi, Patricia ^{[2
]}

Silvestre, Ana L. ^{[3
,4
]}

机构：

[1] UFPR, Ctr Politecn, Dept Math, Setor Ciencias Exatas, CP 19081, BR-81531990 Curitiba, Parana, Brazil

[2] Univ Tecnol Fed Parana UTFPR, Dept Acad Matemat, Ave Sete Setembro 3165, BR-80230901 Curitiba, Parana, Brazil

[3] Univ Lisbon, Inst Super Tecn, CEMAT, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

[4] Univ Lisbon, Inst Super Tecn, Dept Math, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 11期

关键词：

Kelvin-Voigt equations; Bounded domain; Weak solutions; Strong solutions; Stokes operator; Semigroup theory; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; OPERATOR; ATTRACTORS;

D O I：

10.1016/j.jde.2016.02.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the well-posedness of the Kelvin-Voigt equations in spaces based on L-q(Omega), 1 < q < infinity, where Omega is a bounded domain of R-d, d >= 2. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：8242 / 8260

页数：19

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