90 citations
- Institut de recherche mathématique de RennesFR38 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- Université de RennesFR20 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Centre Inria de l'Université de RennesFR6 papers
- Institut de Recherche en Informatique et Systèmes AléatoiresFR4 papers
- Laboratoire des systèmes et applications des technologies de l'information et de l'énergieFR4 papers
- École Normale Supérieure Paris-SaclayFR3 papers
- École Normale Supérieure - PSLFR3 papers
- MINGUS: Schémas numériques géométriques multi-échellesFR3 papers
- University of GenevaCH3 papers
- University of Naples Federico IIIT3 papers
7 papers · 1 filter
Global existence for diffusion-electromigration systems in space dimension three and higher
Dieter Bothe, André Fischer, Michel Pierre +1
We prove existence of global weak solutions for the Nernst-Planck-Poisson problem which describes the evolution of concentrations of charged species subject to Fick…
Weak backward error analysis for Langevin process
Marie Kopec
We consider numerical approximations of stochastic Langevin equations by implicit methods. We show a weak backward error analysis result in the sense that the generator associated…
On the eigenvalues of Aharonov-Bohm operators with varying poles
Virginie Bonnaillie-Noël, Benedetta Noris, Manon Nys +1
We consider a magnetic operator of Aharonov-Bohm type with Dirichlet boundary conditions in a planar domain. We analyse the behavior of its eigenvalues as the singular pole moves i…
Degenerate parabolic stochastic partial differential equations: Quasilinear case
Arnaud Debussche, Martina Hofmanová, Julien Vovelle
In this paper, we study the Cauchy problem for a quasilinear degenerate parabolic stochastic partial differential equation driven by a cylindrical Wiener process. In particular, we…
Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties
Philippe Chartier, Norbert J. Mauser, Florian Méhats +1
In this paper, we present the Stroboscopic Averaging Method (SAM), recently introduced in [7,8,10,12], which aims at numerically solving highly-oscillatory differential equations.…
Permeability through a perforated domain for the incompressible 2D Euler equations
Virginie Bonnaillie-Noël, Christophe Lacave, Nader Masmoudi
We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size are uniformly distributed on the unit segment or a rectangle,…