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7 papers · 2 filters
Gradient Flows of Potential Energies in the Geometry of Sinkhorn Divergences
Mathis Hardion, Hugo Lavenant
We analyze the gradient flow of a potential energy in the space of probability measures when we substitute the optimal transport geometry with a geometry based on Sinkhorn divergen…
Vortex lines interaction in the three-dimensional magnetic Ginzburg--Landau model
Carlos Román, Etienne Sandier, Sylvia Serfaty
We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter …
The primitive equations for the ocean and atmosphere in anisotropic spaces
Valentin Lemarié
In this work, we study the well-posedness of the primitive equations for the ocean and the atmosphere on two specific domains: a bounded domain wit…
Mixed 3D-2D asymptotics for the weak and strong solutions of the rotating magnetohydrodynamic system
Frédéric Charve, Van-Sang Ngo
In this article, we consider the 3D-rotating magnetohydrodynamic (MHD) system when the initial velocity and magnetic field both feature some 2D-part (i.-e. depending only on the ho…
Geometric condition for the observability of electromagnetic Schrödinger operators on
Kévin Le Balc'h, Jingrui Niu, Chenmin Sun
In this article we revisit the observability of the Schrödinger equation on the two-dimensional torus. In contrast to the Schrödinger operator with a purely electric potential, for…
The Pressureless Euler--Navier--Stokes System
Valentin Lemarié
In this paper, we study the well-posedness of the pressureless Euler-Navier-Stokes system in (with ) in the critical regularity setting for a density close to .…