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54 papers · 1 filter
Exponential stability of the linearized viscous Saint-Venant equations using a quadratic Lyapunov function
Amaury Hayat, Nathan Lichtlé
In this work, we investigate the exponential stability of the viscous Saint-Venant equations by adding to the standard hyperbolic Saint-Venant equations a viscosity term coming fro…
Two-layers neural networks for Schr{ö}dinger eigenvalue problems
Mathias Dus, Virginie Ehrlacher, Ehrlacher Virginie
The aim of this article is to analyze numerical schemes using two-layer neural networks with infinite width for the resolution of high-dimensional Schr{ö}dinger eigenvalue problems…
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
We consider an infinite-dimension SIS model introduced by Delmas, Dronnier and Zitt, with a more general incidence rate, and study its equilibria. Unsurprisingly, there exists at l…
Cross-diffusion systems coupled via a moving interface
Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet +1
We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffus…
A spectral approach to the narrow escape problem in the disk
Tony Lelièvre, Mohamad Rachid, Gabriel Stoltz
We study the narrow escape problem in the disk, which consists in identifying the first exit time and first exit point distribution of a Brownian particle from the ball in dimensio…
Embedded corrector problems for homogenization in linear elasticity
Virginie Ehrlacher, Frederic Legoll, Benjamin Stamm +1
In this article, we extend the study of embedded corrector problems, that we have previously introduced in the context of the homogenization of scalar diffusive equations, to the c…