@misc{10481/72758,
year = {2021},
month = {12},
url = {http://hdl.handle.net/10481/72758},
abstract = {This paper aims to study time periodic solutions for 3D inviscid quasi–geostrophic
model. We show the existence of non trivial rotating patches by suitable perturbation of stationary
solutions given by generic revolution shapes around the vertical axis. The construction
of those special solutions are done through bifurcation theory. In general, the spectral problem
is very delicate and strongly depends on the shape of the initial stationary solutions. More
specifically, the spectral study can be related to an eigenvalue problem of a self–adjoint compact
operator. We are able to implement the bifurcation only from the largest eigenvalues of
the operator, which are simple. Additional difficulties generated by the singularities of the poles
are solved through the use of suitable function spaces with Dirichlet boundary condition type
and refined potential theory with anisotropic kernels.},
organization = {Spanish Government	RTI2018098850-B-I00},
organization = {Junta de Andalucia
European Commission	FQM 954},
organization = {Spanish Government	FPU15/04094},
organization = {European Research Council (ERC)
European Commission	ERC-StG-852741},
organization = {French National Research Agency (ANR)	ANR-18-CE40-0020-01},
organization = {Spanish Government	MTM2016-75390},
organization = {Generalitat de Catalunya
General Electric	2017-SGR-395},
publisher = {Springer},
keywords = {3D quasi-geostrophic equations},
keywords = {Periodic solutions},
keywords = {Bifurcation theory},
keywords = {Eigenvalue problems},
title = {Time Periodic Solutions for 3D Quasi-Geostrophic Model},
author = {García López, Claudia},
}