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math.AP2022
Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc
Taoufik Hmidi, Liutang Xue, Zhilong Xue
In this paper we address the existence of time periodic solutions for the generalized inviscid SQG equation in the unit disc with homogeneous Dirichlet boundary condition when $α\i…
math.AP2022
Time periodic doubly connected solutions for the 3D quasi-geostrophic model
C. García, T. Hmidi, J. Mateu
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 nontrivia…