This article studies point-vortex models for the Euler and surface quasi-geostrophic
equations. In the case of an inviscid fluid with planar motion, the point-vortex model gives …

We consider a system of N point vortices in a bounded domain with null total circulation,
whose statistics are given by the canonical Gibbs ensemble at inverse temperature β≥ 0 …

The first part of this article studies the collapses of point-vortices for the Euler equation in the
plane and for surface quasi-geostrophic equations in the general setting of α models. In …

We examine the Euler equations within a simply-connected bounded domain. The dynamics
of a single point vortex are governed by a Hamiltonian system, with most of its energy levels …

The objective of this study is to control the motion of a passive particle advected by N point
vortices in a sphere. The square of the L 2 norm of control, necessary for the system to …

In this article we study quasi-geostrophic point-vortex systems in a general setting called
alpha point-vortex. We study a particular case of vortex collapses called mono-scale …

In this paper we construct solutions to the Euler and gSQG equations that are concentrated
near unstable stationary configurations of point-vortices. Those solutions are themselves …

In this paper, we prove that in bounded planar domains with C^2,α boundary, for almost
every initial condition in the sense of the Lebesgue measure, the point-vortex system has a …

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 …

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 time are …