6 papers
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe
Mehdi Badsi, Ludovic Godard-Cadillac
In this article, we study a collisionless kinetic model for plasmas in the neighborhood of a cylindrical metallic Langmuir probe. This model consists in a bi-species Vlasov-Poisson…
Hölder regularity for collapses of point vortices
Martin Donati, Ludovic Godard-Cadillac
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 …
Vortex collapses for the Euler and Quasi-Geostrophic Models
Ludovic Godard-Cadillac
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 ac…
Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations
Ludovic Godard-Cadillac
In a recent article by Gravejat and Smets, it is built smooth solutions to the inviscid surface quasi-geostrophic equation that have the form of a traveling wave. In this article w…
Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation
Ludovic Godard-Cadillac, Philippe Gravejat, Didier Smets
We provide a variational construction of special solutions to the generalized surface quasi-geostrophic equations. These solutions take the form of N vortex patches with N-fold sym…
Tamped functions: A rearrangement in dimension 1
Ludovic Godard-Cadillac
We define a new rearrangement, called rearrangement by tamping, for non-negative measurable functions defined on R+. This rearrangement has many properties in common with the well-…