4 papers
Local well-posedness for a moving rigid region in Surface Quasi-Geostrophic equations
Ludovic Godard-Cadillac, Arnab Roy
We introduce and analyze a class of Surface Quasi-Geostrophic (SQG) equations in the presence of moving rigid obstacles. The model is motivated both by vortex-wave type asymptotics…
The Spear and the Ring: Emergent Structures in Magnetic Colloidal Suspensions
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +2
We study from a mathematical point of view the nanoparticle model of a magnetic colloid, presented by G. Klughertz. Our objective is to obtain properties of stable stationary struc…
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…
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…