| Abstract: | In this talk, I will discuss the stability of the global equilibrium for the nonlinear Fokker-Planck equations together with the Vlasov-Poisson-Fokker-Planck equations in the whole space, which is proved by the suitable energy estimates. Meanwhile, the decay rate of the nonlinear Fokker-Planck equation is also studied through the precise spectral analysis of the linearized Fokker-Planck operator. The decay rate of the solution to Vlasov-Poisson-Fokker-Planck equations is also established by energy estimates. |
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