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Type: Artigo de periódico
Title: Fractional Navier-Stokes equations and a Holder-type inequality in a sum of singular spaces
Author: Ferreira, LCF
Villamizar-Roa, EJ
Abstract: In this paper we study the local well-posedness of the fractional Navier-Stokes system with initial data belonging to a sum of two pseudomeasure-type spaces denoted by PM(a,b) := PM(a) + PM(b). The proof requires showing a Holder-type inequality in PM(a,b), as well as establishing estimates of the semigroup generated by the fractional power of Laplacian (-Delta)(gamma) on these spaces. (C) 2011 Elsevier Ltd. All rights reserved.
Subject: Navier-Stokes equations
Singular data
Fractional dissipation
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Citation: Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 74, n. 16, n. 5618, n. 5630, 2011.
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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