Fokker-Planck equation in bounded domain

Details Fokker-Planck equation in bounded domain Fokker-Planck equation in bounded domain

2009-04-17

arxiv.org/abs/0904.2645v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We study the existence and the uniqueness of a solution $\fy$ to the linear
Fokker-Planck equation $-\Delta \fy + \div(\fy \F) = f$ in a bounded domain of
$\R^d$ when $\F$ 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.

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