3 papers
math.AP2025
Existence of nested polygonal vortex patches for the generalized SQG equation
Edison Cuba, Lucas C. F. Ferreira
This paper investigates time-periodic solutions of both the surface quasi-geostrophic (SQG) equation and its generalized form (gSQG) within the more singular regime, focusing on th…
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…
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[…