45 citations · 211 across the 47 of their papers we have counts for
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math.AP2015
One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation
Francois James, Nicolas Vauchelet
The nonlocal nonlinear aggregation equation in one space dimension is investigated. In the so-called attractive case smooth solutions blow up in finite time, so that weak measure s…
math.AP2015
Synchronising and Non-synchronising Dynamics for a Two-species Aggregation Model
Casimir Emako, Jie Liao, Nicolas Vauchelet
This paper deals with analysis and numerical simulations of a one-dimensional two-species hyperbolic aggregation model. This model is formed by a system of transport equations with…
math.AP2015★ 2 cited
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway
Benoît Perthame, Min Tang, Nicolas Vauchelet
Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria…