Skip to Main content Skip to Navigation
Journal articles

PARTICLE APPROXIMATION OF SOME LANDAU EQUATIONS

Abstract : We consider a class of nonlinear partial-differential equations, including the spatially homogeneous Fokker-Planck-Landau equation for Maxwell (or pseudo-Maxwell) molecules. Continuing the work of [6, 7, 4], we propose a probabilistic interpretation of such a P.D.E. in terms of a nonlinear stochastic differential equation driven by a standard Brownian motion. We derive a numerical scheme, based on a system of n particles driven by n Brownian motions, and study its rate of convergence. We finally deal with the possible extension of our numerical scheme to the case of the Landau equation for soft potentials, and give some numerical results.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693126
Contributor : Admin Lama <>
Submitted on : Tuesday, May 1, 2012 - 9:39:34 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Links full text

Identifiers

Citation

Nicolas Fournier. PARTICLE APPROXIMATION OF SOME LANDAU EQUATIONS. Kinetic and Related Models , AIMS, 2009, 2 (3), pp.451--464. ⟨10.3934/krm.2009.2.451⟩. ⟨hal-00693126⟩

Share

Metrics