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58 papers · 1 filter
On self-similar singularity formation for the binormal flow
Anatole Guérin
The aim of this article is to establish a concise proof for a stability result of self-similar solutions of the binormal flow, in some more restrictive cases than in [5]. This equa…
An explicit formula for the Benjamin--Ono equation
Patrick Gerard
We establish an explicit formula for the general solution of the Benjamin-Ono equation on the torus and on the line. Contents 1. Introduction 1 1.1. The Benjamin-Ono equation 1 1.2…
An ODE characterisation of multi-marginal optimal transport with pairwise cost functions
Luca Nenna, Brendan Pass
The purpose of this paper is to introduce a new numerical method to solve multi-marginal optimal transport problems with pairwise interaction costs. The complexity of multi-margina…
Reduction by stages for finite W-algebras
Naoki Genra, Thibault Juillard
Let be a simple Lie algebra: its dual space is a Poisson variety. It is well known that for each nilpotent element in , it is poss…
Resolvent estimates in strips for obstacle scattering in 2D and local energy decay for the wave equation
Lucas Vacossin
In this note, we are interested in the problem of scattering by J strictly convex obstacles satisfying a no-eclipse condition in dimension 2. We use the result of a previous articl…
Optimal bounds for Neumann eigenvalues in terms of the diameter
Antoine Henrot, Marco Michetti
In this paper, we obtain optimal upper bounds for all the Neumann eigenvalues in two situations (that are closely related). First we consider a one-dimensional Sturm-Liouville eige…