88 citations · 137 across the 6 of their papers we have counts for
Showing 2009 · math.APShow all
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math.AP2009
Mathematical description of bacterial traveling pulses
Nikolaos Bournaveas, Axel Buguin, Vincent Calvez +3
The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on {\em E. coli} have shown precise structure o…
math.AP2009★ 88 cited
The one-dimensional Keller-Segel model with fractional diffusion of cells
Nikolaos Bournaveas, Vincent Calvez
We investigate the one-dimensional Keller-Segel model where the diffusion is replaced by a non-local operator, namely the fractional diffusion with exponent . We prove s…
math.AP2009★ 28 cited
Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data
Nikolaos Bournaveas, Vincent Calvez
The goal of this paper is to exhibit a critical mass phenomenon occuring in a model for cell self-organization via chemotaxis. The very well known dichotomy arising in the behavior…