Mickael Nahon

activity

20172026

most citedDegenerate free discontinuity problems and spectral inequalities in quantitative form

3 citations · 3 across the 11 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

3 papers · 2 filters

math.AP2023

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension $N \geq 4$

Radu Ignat, Mickael Nahon, Luc Nguyen

We prove that the degree-one vortex solution is the unique minimizer for the Ginzburg--Landau functional for gradient fields (that is, the Aviles--Giga model) in the unit ball $B^N…

math.AP2023

Sharp Quantitative Stability of the Dirichlet spectrum near the ball

Dorin Bucur, Jimmy Lamboley, Mickaël Nahon +1

Let $Ω \subset R^{n}$ be an open set with the same volume as the unit ball $B$ and let $λ_{k} (Ω)$ be the $k$ -th eigenvalue of the Laplace operator of $Ω$ with Dirichlet boundary…

math.AP2023

A free discontinuity approach to optimal profiles in Stokes flows

Dorin Bucur, Antonin Chambolle, Alessandro Giacomini +1

In this paper we study obstacles immerged in a Stokes flow with Navier boundary conditions. We prove the existence and regularity of an obstacle with minimal drag, among all shapes…

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension N≥4

Sharp Quantitative Stability of the Dirichlet spectrum near the ball

A free discontinuity approach to optimal profiles in Stokes flows

Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension $N \geq 4$