Stability of equilibrium for non-linear Fokker-Planck equation

Title:
Stability of equilibrium for non-linear Fokker-Planck equation
Speaker:
杨雄锋 教授,上海交通大学 
Inviter: 王勇 副研究员
Time & Venue:

2022.5.19 10:30 腾讯会议号:838-705-467

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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