Artículos de revistas
Global Existence Of A Weak Solution Of The Incompressible Euler Equations With Helical Symmetry And L-p Vorticity
Registro en:
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.
0022-2518
WOS:000352757500012
Autor
Bronzi
A. C.; Lopes Filho
M. C.; Nussenzveig Lopes
H. J.
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. 64 1
309 341 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq [306331/2010-1, 303089/2010-5, 236994/2012-3] FAPESP [2007/51490-7, 05/58136-9]