396 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR154 papers
- Paris-Est SupFR126 papers
- École nationale des ponts et chausséesFR92 papers
- CERMICSFR71 papers
- Institut national de recherche en sciences et technologies du numériqueFR64 papers
- Laboratoire d'Informatique Gaspard-MongeFR46 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR44 papers
- Université Paris-Est CréteilFR40 papers
- Université Paris-Est Marne-la-ValléeFR39 papers
- Laboratoire NavierFR33 papers
- Laboratoire Modélisation et Simulation Multi-EchelleFR29 papers
- Université Paris DiderotFR15 papers
17 papers · 1 filter
Numerical methods for piecewise deterministic Markov processes with boundary
Ludovic Goudenège
In this paper is described the general aspect of a numerical method for piecewise determin-istic Markov processes with boundary. Under very natural hypotheses, a crucial result abo…
Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
Etienne Bernard, Pierre Gabriel
The objective is to prove the asynchronous exponential growth of the growth-fragmentation equation in large weighted spaces and under general assumptions on the coefficients.…
A solution with free boundary for non-Newtonian fluids with Drucker-Prager plasticity criterion
Eleftherios Ntovoris, M Regis
We study a free boundary problem which is motivated by a particular case of the flow of a non-Newtonian fluid, with a pressure depending yield stress given by a Drucker-Prager plas…
Transient thermal mixed boundary value problems in the half-space
William J. Parnell, Vu-Hieu Nguyen, Raphael Assier +2
The Wiener-Hopf and Cagniard-de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field is de…
Convergence in of weak solutions to perturbed doubly degenerate parabolic equations
Jérôme Droniou, Robert Eymard, Kyle S. Talbot
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and…
A junction condition by specified homogenization and application to traffic lights
Giulio Galise, Cyril Imbert, Régis Monneau
Given a coercive Hamiltonian which is quasi-convex with respect to the gradient variable and periodic with respect to time and space at least "far away from the origin", we conside…
Analysis and simulation of rare events for SPDE
Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège +1
In this work, we consider the numerical estimation of the probability for a stochastic process to hit a set B before reaching another set A. This event is assumed to be rare. We co…
A non linear approximation method for solving high dimensional partial differential equations: Application in Finance
José Arturo Infante Acevedo, Tony Lelievre
We study an algorithm which has been proposed by Chinesta et al. to solve high-dimensional partial differential equations. The idea is to represent the solution as a sum of tensor…
Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain
Tony Lelièvre, Francis Nier
We analyze the low temperature asymptotics of the quasi-stationary distribution associated with the overdamped Langevin dynamics (a.k.a. the Einstein-Smoluchowski diffusion equatio…
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
Frederic Legoll, Florian Thomines
We consider the variant of stochastic homogenization theory introduced in [X. Blanc, C. Le Bris and P.-L. Lions, C. R. Acad. Sci. Serie I 2006 and Journal de Mathematiques Pures et…
Global existence for the critical dissipative surface quasi-geostrophic equation
Omar Lazar
In this article, we study the critical dissipative surface quasi-geostrophic equation (SQG) in . Motivated by the study of the homogeneous statistical solutions of t…
Lagrangian flows for vector fields with gradient given by a singular integral
François Bouchut, Gianluca Crippa
We prove quantitative estimates on flows of ordinary differential equations with vector field with gradient given by a singular integral of an function. Such estimates allow…
Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing
M. Cannone, C. Miao, L. Xue
We consider the 2D quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we…
A Hamilton-Jacobi approach to junction problems and application to traffic flows
Cyril Imbert, Régis Monneau, Hasnaa Zidani
This paper is concerned with the study of a model case of first order Hamilton-Jacobi equations posed on a "junction", that is to say the union of a finite number of half-lines wit…
Effective dynamics using conditional expectations
Frederic Legoll, Tony Lelievre
The question of coarse-graining is ubiquitous in molecular dynamics. In this article, we are interested in deriving effective properties for the dynamics of a coarse-grained variab…
Homogenization of accelerated Frenkel-Kontorova models with types of particles
Nicolas Forcadel, Cyril Imbert, Régis Monneau
We consider systems of ODEs that describe the dynamics of particles. Each particle satisfies a Newton law (including the acceleration term) where the force is created by the intera…
Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
R. Danchin, M. Paicu
The present paper is dedicated to the study of the global existence for the inviscid two-dimensional Boussinesq system. We focus on finite energy data with bounded vorticity and we…