2 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
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[…
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…
Radiative Transfer with long-range interactions in the half-space
Ricardo Alonso, Edison Cuba
We study the well-posedness and regularity theory for the Radiative Transfer equation in the peaked regime posed in the half-space. An average lemma for the transport equation in t…