1 citations · 1 across the 6 of their papers we have counts for
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Large deviations for sticky-reflecting Brownian motion with boundary diffusion
Jean-Baptiste Casteras, Leonard Monsaingeon, Luca Nenna
We study a Schilder-type large deviation principle for sticky-reflected Brownian motion with boundary diffusion, both at the static and sample path level in the short-time limit. A…
Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach
Clément Cancès, Léonard Monsaingeon, Andrea Natale
We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…
Hidden dissipation and convexity for Kimura equations
Jean-Baptiste Casteras, Léonard Monsaingeon
In this paper we establish a rigorous gradient flow structure for one-dimensional Kimura equations with respect to some Wasserstein-Shahshahani optimal transport geometry. This is…
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity
Jean-Baptiste Casteras, Léonard Monsaingeon
In this paper, we construct invariant measures and global-in-time solutions for a fractional Schr\" odinger equation with a Moser-Trudinger type nonlinearity $$ i\partial_t u= (-Δ)…
A degenerate elliptic-parabolic system arising in competitive contaminant transport
Margarida Baía, Farid Bozorgnia, Léonard Monsaingeon +1
In this work we investigate a coupled system of degenerate and nonlinear partial differential equations governing the transport of reactive solutes in groundwater. We show that the…
A new transportation distance with bulk/interface interactions and flux penalization
Léonard Monsaingeon
We introduce and study a new optimal transport problem on a bounded domain , defined via a dynamical Benamou-Brenier formulation. The model handles differ…