有界区域上的Fokker-Planck方程
Fokker-Planck equation in bounded domain
摘要：
研究了线性Fokker-Planck方程$-Δ\fy + ÷(\fy \F) = f$在$\R^d$的有界区域上解$\fy$的存在唯一性，当$\F$是一个“禁闭”向量场，例如作用为到边界距离的倒数.在流体力学和聚合物流动的框架内给出所获得的结果的说明。
英文摘要：
We study the existence and the uniqueness of a solution $\fy$ to the linear Fokker-Planck equation $-Δ\fy + ÷(\fy \F) = f$ 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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