45 citations · 211 across the 47 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.AP2011
Chemotaxis: from kinetic equations to aggregate dynamics
François James, Nicolas Vauchelet
The hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to m…
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…