学术报告

Stability Analysis for Some Non-Linear Fokker-Planck Type Equations

阅读次数:338

题目:Stability Analysis for Some Non-Linear Fokker-Planck Type Equations
报告人:廖杰 (华东理工大学理学院数学系)
地点:致远楼101室
时间:2018年8月16日10:30-11:30
摘要:In this talk, I will present the global existence and decay rates of the solutions near Maxwellian for non-linear Fokker--Planck equations  and non-linear Vlasov–Poisson–Fokker–Planck equations. The global existence is proved  by combining uniform-in-time energy estimates and local solution constructed by Picard type iteration sequence. The decay rates of the nonlinear model is obtained by using the precise spectral analysis of the linear Fokker--Planck operator as well as the energy method. The nonlinearity in the model brings new difficulty for the energy estimates, which is resolved by additional tailored weighted-in-$v$ energy estimates suitable for  Fokker--Planck operators.

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