Artículos de revistas
Existence of a Weak Solution in L (p) to the Vortex-Wave System
Registro en:
Journal Of Nonlinear Science. Springer, v. 21, n. 5, n. 685, n. 703, 2011.
0938-8974
WOS:000294964300002
10.1007/s00332-011-9097-y
Autor
Lopes, MC
Miot, E
Lopes, HJN
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) The vortex-wave system is a coupling of the two-dimensional vorticity equation with the point-vortex system. It is a model for the motion of a finite number of concentrated vortices moving in a distributed vorticity background. In this article, we prove existence of a weak solution to this system with an initial background vorticity in L (p) , p > 2, up to the time of first collision of point vortices. 21 5 685 703 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Agence Nationale de la Recherche (France) [JC05-51279] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq [303.301/2007-4, 302.214/2004-6] FAPESP [2007/51490-7] Agence Nationale de la Recherche (France) [JC05-51279]