149 citations · 316 across the 36 of their papers we have counts for
4 papers · 1 filter
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…