Fokker-Planck equation in bounded domain
Classical Analysis and ODEs
2009-04-20 v1 Analysis of PDEs
Functional Analysis
Abstract
We study the existence and the uniqueness of a solution to the linear Fokker-Planck equation in a bounded domain of when is a "confinement" vector field acting for instance like the inverse of the distance to the boundary. An illustration of the obtained results is given within the framework of fluid mechanics and polymer flows.
Cite
@article{arxiv.0904.2645,
title = {Fokker-Planck equation in bounded domain},
author = {Laurent Chupin},
journal= {arXiv preprint arXiv:0904.2645},
year = {2009}
}