We establish the convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations in this paper. The convergence is rigorously proved on the time interval where the smooth solution to the incompressible Euler equations exists. The proof relies on the compactness argument and the so-called relative-entropy method.
XIAO Ling, LI Fucai & WANG Shu Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
