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 …

In this paper, we study the stability of two-dimensional steady Euler flows with sharply
concentrated vorticity in a bounded domain. These flows are obtained as maximizers of the …

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 …

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 …

In this paper, we construct a family of global solutions to the incompressible Euler equation
on a standard 2-sphere. These solutions are odd-symmetric with respect to the equatorial …

We consider the three-dimensional incompressible Euler equation\begin
{equation*}\left\{\begin {aligned} &\partial_t\Omega+ U\cdot\nabla\Omega …

In this paper, we control the growth of the support of particular solutions to the Euler two-
dimensional equations, whose vorticity is concentrated near special vortex crystals. These …

We construct a family of steady solutions to the two-dimensional incompressible Euler
equation in a general bounded domain, such that the vorticity is supported in two well …

Dans cette thèse nous étudions les équations d'Euler 2D incompressibles dans le cas
particulier d'un tourbillon très concentré autour de N points. Nous nous intéressons au …