Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/243208
Type: Artigo
Title: Global existence of a weak solution of the incompressible Euler equations with helical symmetry and Lp vorticity
Author: Bronzi, A. C.
Lopes Filho, M. C.
Lopes, H. J. Nussenzveig
Abstract: We prove the global existence of a helical weak solution of the 3D Euler equations, in full space, for an initial velocity with helical symmetry, without swirl, and whose initial vorticity is compactly supported in the axial plane and belongs to L-p, for some p > 4/3. This result is an extension of the existence part of the work of B. Ettinger and E. Titi [9], who studied well-posedness of the Euler equations with helical symmetry without swirl, with bounded initial vorticity, in a helical pipe.
We prove the global existence of a helical weak solution of the 3D Euler equations, in full space, for an initial velocity with helical symmetry, without swirl, and whose initial vorticity is compactly supported in the axial plane and belongs to L-p, for some p > 4/3. This result is an extension of the existence part of the work of B. Ettinger and E. Titi [9], who studied well-posedness of the Euler equations with helical symmetry without swirl, with bounded initial vorticity, in a helical pipe.
Subject: Euler, Equações de
Soluções fracas (Matemática)
Dinâmica dos fluidos
Country: Estados Unidos
Editor: Indiana University/ Departament of Mathematics
Citation: Global Existence Of A Weak Solution Of The Incompressible Euler Equations With Helical Symmetry And L-p Vorticity. Indiana Univ Math Journal, v. 64, p. 309-341 2015.
Rights: aberto
Identifier DOI: 10.1512/iumj.2015.64.5467
Address: http://www.iumj.indiana.edu/IUMJ/FULLTEXT/2015/64/5467
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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