62 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Laboratoire Paul PainlevéFR7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Université de LilleFR5 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Instituto Nacional de Matemática Pura e AplicadaBR3 papers
- Institut Camille JordanFR2 papers
- Lyon 1 UniversitéFR2 papers
- Centre de Mathématiques Laurent SchwartzFR1 paper
- Centre Inria de l'Université de LilleFR1 paper
- Institut d'électronique de microélectronique et de nanotechnologieFR1 paper
- Institut Élie Cartan de LorraineFR1 paper
- Institute of Rural Management AnandIN1 paper
12 papers
Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
Raphaël Côte, Guillaume Ferriere
We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction , and which takes into account the Dzyaloshinskii-Moriya interaction. We cons…
A numerical study of vortex nucleation in 2D rotating Bose-Einstein condensates
Guillaume Dujardin, Ingrid Lacroix-Violet, Anthony Nahas
This article introduces a new numerical method for the minimization under constraints of a discrete energy modeling multicomponents rotating Bose-Einstein condensates in the regime…
Stochastic modulational instability in the nonlinear Schrödinger equation with colored random dispersion
Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski +4
We study modulational instability (MI) in optical fibers with random group-velocity dispersion (GVD). We consider Gaussian and dichotomous colored stochastic processes. We resort t…
Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation
André de Laire, Salvador López-Martínez
We consider the nonlocal Gross-Pitaevskii equation that models a Bose gas with general nonlocal interactions between particles in one spatial dimension, with constant density far a…
Kirkwood-Dirac nonclassicality, support uncertainty and complete incompatibility
Stephan De Bievre
Given two orthonormal bases in a d-dimensional Hilbert space, one associates to each state its Kirkwood-Dirac (KD) quasi-probability distribution. KD-nonclassical states - for whic…
Comparison principles and applications to mathematical modelling of vegetal meta-communities
Gauthier Delvoye, Olivier Goubet, Frédéric Paccaut
This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches…
Stefan problem for a non-ergodic facilitated exclusion process
Oriane Blondel, Clément Erignoux, Marielle Simon
We consider the facilitated exclusion process, which is a nonergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is…
High order linearly implicit methods for evolution equations
Guillaume Dujardin, Ingrid Lacroix-Violet
This paper introduces a new class of numerical methods for the time integration of evolution equations set as Cauchy problems of ODEs or PDEs. The systematic design of these method…
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics
Clément Erignoux
Using duality techniques, we derive the hydrodynamic limit for one-dimensional, boundary-driven, symmetric exclusion processes with different types of non-reversible dynamics at th…
Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics
C. Erignoux, C. Landim, T. Xu
We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the…
Hydrodynamic Limit For An Active Exclusion Process
Clément Erignoux
Collective dynamics can be observed among many animal species, and have given rise in the last decades to an active and interdisciplinary field of study. Such behaviors are often m…