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Showing 2018 · math.APShow all
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math.AP2018
A well-balanced scheme for chemotactic travelling waves at the mesoscopic scale
Vincent Calvez, Laurent Gosse, Monika Twarogowska
We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equati…
math.AP2018
Asymptotic analysis of a quantitative genetics model withnonlinear integral operator
Vincent Calvez, Jimmy Garnier, Florian Patout
We study the asymptotic behavior of stationary solutions to a quantitative genetics model with trait-dependent mortality and sexual reproduction. The infinitesimal model accounts f…
math.AP2018★ 24 cited
Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates
Denis Serre, Luis Silvestre
The Cauchy problem for a scalar conservation laws admits a unique entropy solution when the data is a bounded measurable function (Kruzhkov). The semi-group i…