144 citations
- Sorbonne UniversitéFR26 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Centre de Recherche en Mathématiques de la DécisionFR4 papers
- Département de mathématiques et applicationsFR4 papers
- Université Paris CitéFR4 papers
- École Normale Supérieure - PSLFR3 papers
- École PolytechniqueFR3 papers
- Fudan UniversityCN2 papers
- Laboratoire de Mathématiques Analyse, Probabilités, Modélisation OrléansFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
4 papers · 2 filters
Analysis of a diffusive effective mass model for nanowires
Jourdana Clément, Nicolas Vauchelet
We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron tr…
Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation
André de Laire
We consider a Gross-Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which n…
A remark on duality solutions for some weakly nonlinear scalar conservation laws
François James, Nicolas Vauchelet
We investigate existence and uniqueness of duality solutions for a scalar conservation law with a nonlocal interaction kernel. Following the work of Bouchut and James (Comm. Partia…
Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
Grégoire Nadin, Luca Rossi
We investigate in this paper propagation phenomena for the heterogeneous reaction-diffusion equation , , , where f=f(t,u) is a KPP mono…