@misc{10481/72406,
year = {2020},
month = {10},
url = {http://hdl.handle.net/10481/72406},
abstract = {This paper deals with the existence of N vortex patches located at the vertex of a regular polygon with N sides that rotate around the center of the polygon at a constant angular velocity. That is done for Euler and (SQG)β equations, with β∈(0,1), but may be also extended to more general models. The idea is the desingularization of the Thomsom polygon for the N point vortex system, that is, N point vortices located at the vertex of a regular polygon with N sides. The proof is based on the study of the contour dynamics equation combined with the application of the infinite dimensional Implicit Function theorem and the well--chosen of the function spaces.},
organization = {MINECO-Feder (Spain)
	RTI2018-098850-B-I00},
organization = {Junta de Andalucia
European Commission
	FQM 954	
	P18-RT-2422},
organization = {MECD (Spain)
	FPU15/04094},
organization = {European Research Council (ERC)
European Commission
	ERC-StG-852741},
publisher = {Springer Nature},
title = {Vortex patches choreography for active scalar equations},
doi = {10.1007/s00332-021-09729-x},
author = {García López, Claudia},
}