Existence of a Weak Solution in L (p) to the Vortex-Wave System

Autor(es)

Lopes Filho, Milton C. ^[1] ; Miot, Evelyne ^[2] ; Nussenzveig Lopes, Helena J. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas UNICAMP, Dept Matemat, IMECC, BR-13083970 Campinas, SP - Brazil

^[2] Univ Paris 11, Dept Math, F-91405 Orsay - France

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF NONLINEAR SCIENCE; v. 21, n. 5, p. 685-703, OCT 2011.
• Citações Web of Science: 4

Resumo

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. (AU)

• Processo FAPESP: 07/51490-7 - Aspectos matemáticos da dinâmica dos fluidos incompressíveis
• Beneficiário: Milton da Costa Lopes Filho
• Modalidade de apoio: Auxílio à Pesquisa - Temático