45 citations · 211 across the 47 of their papers we have counts for
6 papers · 1 filter
Convergence analysis of upwind type schemes for the aggregation equation with pointy potential
François Delarue, Frédéric Lagoutìère, Nicolas Vauchelet
A numerical analysis of upwind type schemes for the nonlinear nonlocal aggregation equation is provided. In this approach, the aggregation equation is interpreted as a conservative…
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…
Incompressible limit of the Navier-Stokes model with a growth term
Nicolas Vauchelet, Ewelina Zatorska
Starting from isentropic compressible Navier-Stokes equations with growth term in the continuity equation, we rigorously justify that performing an incompressible limit one arrives…
Establishing Traveling Wave in Bistable Reaction-Diffusion System by Feedback
Pierre-Alexandre Bliman, Nicolas Vauchelet
Several stains of the intracellular parasitic bacterium Wolbachia limit severely the competence of the mosquitoes Aedes aegypti as a vector of dengue fever and possibly other arbov…
Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint. *
Sophie Hecht, Nicolas Vauchelet
A mathematical model for tissue growth is considered. This model describes the dynamics of the density of cells due to pressure forces and proliferation. It is known that such cell…
Hindrances to bistable front propagation: application to Wolbachia invasion
Grégoire Nadin, Martin Strugarek, Nicolas Vauchelet
We study the biological situation when an invading population propagates and replaces an existing population with different characteristics. For instance, this may occur in the pre…