2 papers
math.AP2025
Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex
Dimitri Cobb, Martin Donati, Ludovic Godard-Cadillac
This article studies the vortex-wave system for the Surface Quasi-Geostrophic equation with parameter 0 < s < 1. We obtained local existence of classical solutions in H^4 under the…
math.AP2024
On the Dynamics of Point Vortices with Positive Intensities collapsing with the boundary
Martin Donati, Ludovic Godard-Cadillac, Dragos Iftimie
In this paper, we study the point-vortex dynamics with positive intensities. We show that in the half-plane and in a disk, collapses of point vortices with the boundary in finite t…