397 citations
- International Center for Transitional JusticeUS202 papers
- Lyon 1 UniversitéFR166 papers
- Centre National de la Recherche ScientifiqueFR110 papers
- Analyse, Géométrie et ModélisationFR31 papers
- Laboratoire de Chimie ThéoriqueFR16 papers
- Institut National des Sciences Appliquées de LyonFR13 papers
- Laboratoire de Mathématiques d'OrsayFR13 papers
- École Centrale de LyonFR12 papers
- Bouygues (France)FR10 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR10 papers
- Laboratoire de Mathématiques Blaise PascalFR10 papers
- Université Jean MonnetFR10 papers
8 papers · 2 filters
An abstract framework for a class of nonlocal structured population models: existence, uniqueness and stability of steady states
Jérôme Coville, Léo Girardin
This paper is concerned with the study of a class of nonlinear nonlocal functional evolution problems defined in an abstract Banach algebra. We introduce an abstract functional set…
Li-Yau-Hamilton Inequality on the JKO Scheme for the Granular-Medium Equation
Fanch Coudreuse
We establish a version of the Li--Yau--Hamilton inequality for the Granular-Medium equation on the torus, both at the PDE level and for its time-discrete approximation given by the…
Yudovich theory under geometric regularity for density-dependent incompressible fluids
Francesco Fanelli
This paper focuses on the study of the density-dependent incompressible Euler equations in space dimension , for low regularity (\textsl{i.e.} non-Lipschitz) initial data sati…
When Pythagoras meets Navier-Stokes
Igor Honoré
In this article, we develop a new method, based on a time decomposition of a Cauchy problem elaborated in [6], to retrieve the well-known $L^\infty ([0,T],L^2(\mathbb{R}^d,\mathbb{…
Forced Rapidly Dissipative Navier--Stokes Flows
Lorenzo Brandolese, Takahiro Okabe
We show that, by acting on a finite number of parameters of a compactly supported control force, we can increase the energy dissipation rate of any small solution of the Navier--St…
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…