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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 ...
Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation
Relativistic Fokker-Planck equation Newtonian limit Trend to equilibrium
2011/9/21
Abstract: The relativistic Fokker-Planck equation, in which the speed of light $c$ appears as a parameter, is considered. It is shown that in the limit $c\to\infty$ its solutions converge in $L^1$ to ...
Similarity solutions of Fokker-Planck equation with time-dependent coefficients
Fokker-Planck equation time-dependent drift and diffusion similarity method
2011/7/26
Abstract: In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method. By the introduction of th...
Maximum Path Information and Fokker-Planck Equation
Maximum Path Information Fokker-Planck Equation
2010/11/23
We present in this paper a rigorous method to derive the nonlinear Fokker-Planck (FP) equation of anomalous diffusion directly from a generalization of the principle of least action of Maupertuis prop...
Green function for a non-Markovian Fokker-Planck equation: Comb-model and anomalous diffusion
Anomalous diffusion Comb-model Fokker-Planck
2010/7/5
We investigate solutions, by using the Green function approach, for a system governed by a non-Markovian Fokker-Planck equation and subjected to a Comb structure. This structure consists of the axis o...
Lie symmetries and related group-invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal entropy
Nonlinear Fokker-Planck equation Sharma-Taneja-Mittal entropy Lie symmetries Group invariant solutions
2010/7/5
In the framework of the statistical mechanics based on the Sharma-Taneja-Mittal entropy we derive a family of nonlinear Fokker-Planck equations characterized by the associated non-increasing Lyapunov ...
格点规范理论中Fokker-Planck方程的平均场解
格点规范 Fokker-Planck方程 平均场解
2009/5/21
将格点规范理论中的演化分布函数逐步地分解为单链变量分布函数的乘积,我们得到了Fokker-Planck方程的平均场近似解.
On New Invariant Solutions of Generalized Fokker-Planck
Equation
Fokker-Planck equation potential symmetry invariant solutions
symbolic computation
2007/8/15
2004Vol.41No.5pp.665-668DOI:
On New Invariant Solutions of Generalized Fokker-Planck
Equation
YAO Ruo-Xia1,2,3 and LI Zhi-Bin1
1 Department of Computer Science, East Ch...