@misc{10481/91310, year = {2022}, month = {6}, url = {https://hdl.handle.net/10481/91310}, abstract = {In this paper, we construct time periodic doubly connected solutions for the 3D quasi-geostrophic model in the patch setting. More specifically, we prove the existence of nontrivial m-fold doubly connected rotating patches bifurcating from a generic doubly connected revolution shape domain with higher symmetry m ≥ m0 and m0 is large enough. The linearized matrix operator at the equilibrium state is with variable and singular coefficients and its spectral analysis is performed via the approach devised in [27] where a suitable symmetrization has been introduced. New difficulties emerge due to the interaction between the surfaces making the spectral problem richer and involved.}, organization = {European Research Council ERC-StG-852741 (CAPA)}, organization = {MINECO–Feder (Spain) research grant number RTI2018–098850–B–I00}, organization = {Junta de Andalucía (Spain) Project FQM 954}, organization = {PID2020-112881GB-I00 and Severo Ochoa and Maria de Maeztu program for centers CEX2020-001084-MMTM2016–75390 (Mineco, Spain)}, publisher = {Society for Industrial and Applied Mathematics}, title = {Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model}, doi = {10.1137/22M1513666}, author = {García López, Claudia and Hmidi, Taoufik and Mateu, Joan}, }