Particle approximation of some Landau equations

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dc.creatorFournier, Nicolas
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:50Z
dc.date.available2026-07-07T10:18:50Z
dc.descriptionWe 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 Fontbona-Guérin-Méléard, 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.
dc.identifierhttps://arxiv.org/abs/0811.2688
dc.identifierhttp://arxiv.org/abs/0811.2688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174326
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82C40; 60K35
dc.titleParticle approximation of some Landau equations
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