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
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4 papers · 2 filters
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…
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…
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,…