19 citations · 62 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Concentration waves of chemotactic bacteria: the discrete velocity case
Vincent Calvez, Laurent Gosse, Monika Twarogowska
The existence of travelling waves for a coupled system of hyperbolic/ parabolic equations is established in the case of a finite number of velocities in the kinetic equation. This…
Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting
Laurent Gosse, Nicolas Vauchelet
This paper is concerned with diffusive approximations of peculiar numerical schemes for several linear (or weakly nonlinear) kinetic models which are motivated by wide-range applic…
Decay of Positive Waves for Hyperbolic Systems of Balance Laws
Paola Goatin, Laurent Gosse
We prove Ole\u ınik-type decay estimates for entropy solutions of strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which…