We propose a new weighted weak formulation for the Fokker-Planck equation of the finitely extensible nonlinear elastic dumbbell model and prove its well-posed ness in weighted Sobolev spaces. We also ...

This book deals with the derivation of the Fokker-Planck equation, methods of solving it and some of its applications. Various methods such as the simulation method, the eigenfunction expansion, ...

Karl J. Havlak, Harold Dean Victory, Jr. We devise and study a random particle method for approximating Vlasov-Poisson-Fokker-Planck systems. Such a proposed scheme takes into account the fact that ...

We solve the one-dimensional Fokker-Planck equation for radiation belt electrons under the assumption of the conservation of the first and second adiabatic invariants (so-called radial diffusion). We ...