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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Lopes Filho, Milton C. [1] ; Miot, Evelyne [2] ; Nussenzveig Lopes, Helena J. [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas UNICAMP, Dept Matemat, IMECC, BR-13083970 Campinas, SP - Brazil
[2] Univ Paris 11, Dept Math, F-91405 Orsay - France
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF NONLINEAR SCIENCE; v. 21, n. 5, p. 685-703, OCT 2011.
Web of Science Citations: 4
Abstract

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)

FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:Milton da Costa Lopes Filho
Support Opportunities: Research Projects - Thematic Grants