1 citations · 2 across the 6 of their papers we have counts for
6 papers
Convergence rate for the method of moments with linear closure relations
Yves Bourgault, Damien Broizat, Pierre-Emmanuel Jabin
We study linear closure relations for the moments' method applied to simple kinetic equations. The equations are linear collisional models (velocity jump processes) which are well…
DiPerna-Lions flow for relativistic particles in an electromagnetic field
Pierre-Emmanuel Jabin, Nader Masmoudi
We show the existence and uniqueness of a DiPerna-Lions flow for relativistic particles subject to a Lorentz force in an electromagnetic field. The electric and magnetic fields sol…
Local existence of analytical solutions to an incompressible Lagrangian stochastic model in a periodic domain
Mireille Bossy, Joaquin Fontbona, Pierre-Emmanuel Jabin +1
We consider an incompressible kinetic Fokker Planck equation in the flat torus, which is a simplified version of the Lagrangian stochastic models for turbulent flows introduced by…
Small populations corrections for selection-mutation models
Pierre-Emmanuel Jabin
We consider integro-differential models describing the evolution of a population structured by a quantitative trait. Individuals interact competitively, creating a strong selection…
Convergence to equilibrium in competitive Lotka-Volterra equations
Nicolas Champagnat, Pierre-Emmanuel Jabin, Gael Raoul
We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in two previous articles to prove th…
Differential Equations with singular fields
Pierre-Emmanuel Jabin
This paper investigates the well posedness of ordinary differential equations and more precisely the existence (or uniqueness) of a flow through explicit compactness estimates. Ins…