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174 papers · 1 filter
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
An all-topology two-fluid model for two-phase flows derived through Hamilton's Stationary Action Principle
Ward Haegeman, Giuseppe Orlando, Samuel Kokh +1
We present a novel multi-fluid model for compressible two-phase flows. The model is derived through a newly developed Stationary Action Principle framework. It is fully closed and…
Eigenvalue falls in thin broken quantum strips
Lucas Chesnel, Sergei A. Nazarov
We are interested in the spectrum of the Dirichlet Laplacian in thin broken strips with angle . Playing with symmetries, this leads us to investigate spectral problems for the L…
From random matrices to systems of particles in interaction
Valentin Pesce
The goal of these expository notes is to give an introduction to random matrices for non-specialist of this topic focusing on the link between random matrices and systems of partic…
On measure-valued solutions for a structured population model with transfers
Pierre Magal, Gaël Raoul
We consider a transfer operator where two interacting cells carrying non-negative traits transfer a random fraction of their trait to each other. These transfers can lead to popula…