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Type: Artigo de periódico
Title: On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame
Author: de Almeida, MF
Ferreira, LCF
Abstract: We prove local-in-time (non-uniform) solvability for the rotating Navier-Stokes equations in Morrey spaces M-p,mu(sigma)(R-3). These spaces contain singular and nondecaying functions which are of interest in statistical turbulence. We give an algebraic relation between the size of existence time and angular velocity Omega. The evolution of velocity u is analyzed in suitable Kato-Fujita spaces based on Morrey spaces. We show the asymptotic behavior u(Omega) -> w in L-infinity(0, T; M-p,mu(sigma)(R-3)) as Omega -> 0, where w is the solution for the Navier-Stokes equations with the same data u(0). Particularly, for mu = 3 - p, the solution is approximately self-similar for small vertical bar Omega vertical bar, when u(0) is homogeneous of degree - 1. (c) 2013 Elsevier Inc. All rights reserved.
Subject: Rotating fluids
Coriolis force
Local solvability
Morrey spaces
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 405, n. 2, n. 362, n. 372, 2013.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2013.03.068
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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