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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field
均匀磁场 线性化 Vlasov Vlasov-Foker-Planck方程
2023/5/17
We study the linearized Vlasov equations and the linearized Vlasov-Fokker-Planck equations in the weakly collisional limit in a uniform magnetic field. In both cases, we consider periodic confinement ...
Exponential convergence to equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds
kinetic Fokker-Planck equations Riemannian manifolds
2010/12/13
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations
Navier-Stokes equations nonlinear Fokker-Planck equations global existence.
2014/4/3
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori ...