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math.AP2022
Existence of asymmetric vortex patch for the generalized SQG equations
Edison Cuba, Lucas C. F. Ferreira
This paper aims to study the existence of asymmetric solutions for the two-dimensional generalized surface quasi-geostrophic (gSQG) equations of simply connected patches for $α\in[…
math.AP2022
Existence of vortex sheet solutions to the SQG Equation
Edison Cuba, Lucas C. F. Ferreira
This paper addresses the existence of vortex sheets for the SQG equation. More precisely, we construct a family of stationary vortex sheet solutions that are concentrated on curves…