Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68660
Type: Artigo de periódico
Title: ON THE EXISTENCE OF SOLUTIONS FOR THE NAVIER-STOKES SYSTEM IN A SUM OF WEAK-L-p SPACES
Author: Ferreira, LCF
Villamizar-Roa, EJ
Abstract: We study the Navier-Stokes system with initial data belonging to sum of two weak-L-p spaces, which contains the sum of homogeneous function with different degrees. The domain Omega can be either an exterior domain, the half-space, the whole space or a bounded domain with dimension n >= 2. We obtain the existence of local mild solutions in the same class of initial data and moreover we show results about uniqueness, regularity and continuous dependence of solutions with respect to the initial data. To obtain our results we prove a new Holder-type inequality on the sum of Lorentz spaces.
Subject: Navier-Stokes equations
Sum of weak-L-p spaces
Mild solutions
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/dcds.2010.27.171
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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