Results 11 to 20 of about 42,667 (162)
Consequences of the H-Theorem from Nonlinear Fokker-Planck Equations [PDF]
, 2007 A general type of nonlinear Fokker-Planck equation is derived directly from a master equation, by introducing generalized transition rates. The H-theorem is demonstrated for systems that follow those classes of nonlinear Fokker-Planck equations, in the ...
A. R. Plastino +13 more
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Nonlinear Kinetics on Lattices Based on the Kinetic Interaction Principle
Entropy, 2018 Master equations define the dynamics that govern the time evolution of various physical processes on lattices. In the continuum limit, master equations lead to Fokker–Planck partial differential equations that represent the dynamics of physical ...
Giorgio Kaniadakis +1 more
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Classes of N-Dimensional Nonlinear Fokker-Planck Equations Associated to Tsallis Entropy
Entropy, 2011 Several previous results valid for one-dimensional nonlinear Fokker-Planck equations are generalized to N-dimensions. A general nonlinear N-dimensional Fokker-Planck equation is derived directly from a master equation, by considering nonlinearitiesin the
Fernando D. Nobre +2 more
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Journal of Function Spaces, 2021 The main purpose of this paper is to apply the Lie symmetry analysis method for the two-dimensional time fractional Fokker-Planck (FP) equation in the sense of Riemann–Liouville fractional derivative.
Nisrine Maarouf, Khalid Hilal
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Rough nonlocal diffusions [PDF]
, 2019 We consider a nonlinear Fokker-Planck equation driven by a deterministic rough path which describes the conditional probability of a McKean-Vlasov diffusion with "common" noise.
Coghi, Michele, Nilssen, Torstein
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The Schauder estimate in kinetic theory with application to a toy nonlinear model [PDF]
, 2020 This article is concerned with the Schauder estimate for linear kinetic Fokker-Planck equations with H\"older continuous coefficients. This equation has an hypoelliptic structure.
Imbert, Cyril, Mouhot, Clément
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Fractional Fokker-Planck Equation
Mathematics, 2017 We shall discuss the numerical solution of the Cauchy problem for the fully fractional Fokker-Planck (fFP) equation in connection with Sinc convolution methods. The numerical approximation is based on Caputo and Riesz-Feller fractional derivatives.
Gerd Baumann, Frank Stenger
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Advances in Difference Equations, 2020 This paper provides a numerical approach for solving the time-fractional Fokker–Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to present the fractional Fokker–Planck equation into ...
Haile Habenom, D. L. Suthar
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Radiative Transfer Limits of Two-Frequency Wigner Distribution for Random Parabolic Waves [PDF]
, 2006 The present note establishes the self-averaging, radiative transfer limit for the two-frequency Wigner distribution for classical waves in random media. Depending on the ratio of the wavelength to the correlation length the limiting equation is either a ...
Albert C. Fannjiang +11 more
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Interval Wavelet Numerical Method on Fokker-Planck Equations for Nonlinear Random System
Advances in Mathematical Physics, 2013 The Fokker-Planck-Kolmogorov (FPK) equation governs the probability density function (p.d.f.) of the dynamic response of a particular class of linear or nonlinear system to random excitation.
Li-wei Liu
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