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Newtonian limit and trend to equilibrium for the relativistic Fokker-Planck equation
Relativistic Fokker-Planck equation Newtonian limit Trend to equilibrium
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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
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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
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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
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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
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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 ...
On New Invariant Solutions of Generalized Fokker-Planck
Equation
Fokker-Planck equation potential symmetry invariant solutions
symbolic computation
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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...