Results 101 to 110 of about 34,831 (211)

Local elliptic regularity for solutions to stationary Fokker–Planck equations via Dirichlet forms and resolvents

Boundary Value Problems
In this paper, we show that, for a solution to the stationary Fokker–Planck equation with general coefficients, defined as a measure with an L 2 $L^{2}$ -density, this density not only exhibits H 1 , 2 $H^{1,2}$ -regularity but also Hölder continuity. To
Haesung Lee
doaj   +1 more source

Homotopy Perturbation Method for Solving Fokker-Planck Equation

مجلة علوم ذي قار, 2019
In this paper, linear and nonlinear Fokker-Planck equations and some similar equations by using homotopy perturbation method are solved. Some examples are solved by homotopy perturbation method to illustrate the simplicity and reliability of this method.
Jehan M. Khudhir
doaj  

BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids

Condensed Matter Physics, 2016
A chain of kinetic equations for non-equilibrium one-particle, two-particle and s-particle distribution functions of particles which take into account nonlinear hydrodynamic fluctuations is proposed.
I.R. Yukhnovskii, P.A. Hlushak, M.V. Tokarchuk   +2 more
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Fractional Fokker-Planck Equation for Fractal Media

, 2006
We consider the fractional generalizations of equation that defines the medium mass. We prove that the fractional integrals can be used to describe the media with noninteger mass dimensions.
Forster D., Isihara A., Kolmogorov A. N., Levy P. P., Mandelbrot B., Resibois P., Samko S. G., Samko S. G., Schroeder M., Tarasov V. E., Tarasov V. E., Vasily E. Tarasov, Zaslavsky G. M.   +12 more
core   +1 more source

Efficient Solution of Fokker–Planck Equations in Two Dimensions

Mathematics
Finite element analysis (FEA) of the Fokker–Planck equation governing the nonstationary joint probability density function of the responses of a dynamical system produces a large set of ordinary differential equations, and computations become impractical
Donald Michael McFarland, Fei Ye, Chao Zong, Rui Zhu, Tao Han, Hangyu Fu, Lawrence A. Bergman, Huancai Lu   +7 more
doaj   +1 more source

The Riccati System and a Diffusion-Type Equation

Mathematics, 2014
We discuss a method of constructing solutions of the initial value problem for diffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonautonomous Burgers-type equation is also considered. Examples include, but are
Erwin Suazo, Sergei K. Suslov, José M. Vega-Guzmán   +2 more
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Global existence for the Vlasov–Euler–Fokker–Planck system in low-regularity space

Results in Applied Mathematics
This paper investigates the global well-posedness of the Cauchy problem for the Vlasov–Fokker–Planck equation coupled with the incompressible Euler system around a normalized global Maxwellian in a periodic spatial domain.
Bing Tan, Yingzhe Fan
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Low-dimensional spike rate models derived from networks of adaptive integrate-and-fire neurons: Comparison and implementation.

PLoS Computational Biology, 2017
The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic collective ...
Moritz Augustin, Josef Ladenbauer, Fabian Baumann, Klaus Obermayer   +3 more
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Mesoscopic non-equilibrium thermodynamics approach to non-Debye dielectric relaxation

, 2010
Mesoscopic non-equilibrium thermodynamics is used to formulate a model describing non-homogeneous and non-Debye dielectric relaxation. The model is presented in terms of a Fokker-Planck equation for the probability distribution of non-interacting polar ...
Doi M., Funke K., Humberto Híjar, Iván Santamaría-Holek, J. G. Méndez-Bermúdez, Kubo R., Zwanzig R.   +6 more
core   +1 more source

Similarity solutions of Fokker-Planck equation with time-dependent coefficients

, 2011
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.
Bluman, C.-L. Ho, Caroli, Drozdov, Fa, González, Gunaratne, Gunaratne, Ho, Ho, Lillo, Lin, Owedyk, Risken, Spichak, Turbiner, Turbiner, Ushveridze, W.-T. Lin, Weidlich, Zienkiewicz, Zwillinger   +21 more
core   +1 more source