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math.AP2024
Existence of Vortex Patch Equilibria for Active Scalars Equations
Edison Cuba
In this paper, we investigate the existence of a finite number of vortex patches for the generalized surface quasi-geostrophic (gSQG) equations with , focusing on confi…
math.AP2024
Existence of stationary vortex patches for the gSQG in bounded domains
Vladimir Angulo-Castillo, Edison Cuba, Lucas C. F. Ferreira
In this paper we show the existence of time-periodic vortex patches for the generalized surface quasi-geostrophic equation within a bounded domain. This construction is carried out…