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Mamadou Ndao

Publications and source records attributed to Mamadou Ndao.

2 recordsLinked to original sources
arXiv2020

The Fokker-Planck equation with subcritical confinement force

We consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the case of a general force) and we establish some (polynomial and stretch exponential) rate of convergence to the equilibrium (depending on the space to which belongs the initial datum). Our results improve similar results established by Toscani, Villani [29] and R{ö}chner , Wang [27]: the force field is more general, the spaces are more general, the rates are sharper.

math.AP↗
arXiv2016

Convergence to equilibrium for Fokker-Planck equation with a general force field

The aim of this paper is to study the convergence of the solution of the Fokker-Planck equation to the associated stationary state when time goes to infinity. The force field which we consider here is of a general structure, that is it may not derive from a potential. The proof is based on an adequate splitting L = B+A of the Fokker-Planck operator L and the use of Krein-Rutmann theory.

math.AP↗