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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Damazio, Pedro D.¹  Manholi, Patricia²  Silvestre, Ana L.^3,4 

[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

关键词: Kelvin-Voigt equations;    Bounded domain;    Weak solutions;    Strong solutions;    Stokes operator;    Semigroup theory;   

DOI  :  10.1016/j.jde.2016.02.020

来源: Elsevier

【 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.

【 授权许可】

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