6 citations · 12 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2011
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…
math.AP2011★ 6 cited
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…
math.AP2010★ 6 cited
On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis
Francois James, Nicolas Vauchelet
The hydrodynamic limit of a one dimensional kinetic model describing chemotaxis is investigated. The limit system is a conservation law coupled to an elliptic problem for which the…