Results 51 to 60 of about 34,831 (211)

The Contribution of Time Domain Structures to Electron Loss During the 17 March 2013 Geomagnetic Storm

Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.
Abstract Ring current modeling has been a subject of active research in the last two decades. However, accurately modeling of this population of particles remains a challenge. Several recent studies have demonstrated that ring current models can overestimate the trapped electron flux in the 10–50 keV range by up to two orders of magnitude during ...
Katja Stoll, Yangyang Shen, Bernhard Haas, Leonie Pick, Dedong Wang, Yuri Shprits   +5 more
wiley   +1 more source

Convergence to global equilibrium for Fokker-Planck equations on a graph and Talagrand-type inequalities [PDF]

, 2014
In recent work, Chow, Huang, Li and Zhou introduced the study of Fokker-Planck equations for a free energy function defined on a finite graph. When $N\ge 2$ is the number of vertices of the graph, they show that the corresponding Fokker-Planck equation ...
Che, Rui, Huang, Wen, Li, Yao, Tetali, Prasad   +3 more
core  

Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations

, 2001
We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external fields. We calculate the corresponding response functions explicitely. The
A. Blumen, Barkai, Barkai, Barkai, Blumen, Blumen, Bouchaud, Bouchaud, Feigel'man, Granek, Haus, Hilfer, I.M. Sokolov, J. Klafter, Liu, Metzler, Metzler, Monthus, Montroll, Rinn, Scher, Schiessel, Schiessel, Shlesinger, Sokolov   +24 more
core   +1 more source

Reconstruction of Two‐Dimensional Magnetohydrodynamic and Hall Magnetohydrodynamic Equilibria in Space Using Physics‐Informed Neural Networks

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.
Abstract We present a novel data analysis technique based on physics‐informed neural networks (PINNs) to reconstruct two‐dimensional (2D) magnetohydrodynamic (MHD) and Hall MHD equilibria in a space plasma from in situ spacecraft measurements. Our method incorporates the steady‐state MHD or Hall MHD equations—a set of partial differential equations ...
Hiroshi Hasegawa, Eunjin Choi, Kyoung‐Joo Hwang, Kyunghwan Dokgo   +3 more
wiley   +1 more source

Keller–Segel type approximation for nonlocal Fokker–Planck equations in one-dimensional bounded domain

European Journal of Applied Mathematics
Numerous evolution equations with nonlocal convolution-type interactions have been proposed. In some cases, a convolution was imposed as the velocity in the advection term.
Hideki Murakawa, Yoshitaro Tanaka
doaj   +1 more source

Toward computational algorithm for time-fractional Fokker–Planck models

Advances in Mechanical Engineering, 2019
This article describes an efficient algorithm based on residual power series to approximate the solution of a class of partial differential equations of time-fractional Fokker–Planck model. The fractional derivative is assumed in the Caputo sense.
Asad Freihet, Shatha Hasan, Mohammad Alaroud, Mohammed Al-Smadi, Rokiah Rozita Ahmad, Ummul Khair Salma Din   +5 more
doaj   +1 more source

Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations

, 2008
We study a general class of nonlinear mean field Fokker-Planck equations in relation with an effective generalized thermodynamical formalism. We show that these equations describe several physical systems such as: chemotaxis of bacterial populations ...
Chavanis, Pierre-Henri
core   +4 more sources

On the Mean‐Field Limit of Consensus‐Based Methods

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method

Abstract and Applied Analysis, 2014
The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative.
Shao-Hong Yan, Xiao-Hong Chen, Gong-Nan Xie, Carlo Cattani, Xiao-Jun Yang   +4 more
doaj   +1 more source

Modeling the EMIC Wave‐Induced Acceleration of Energetic Protons in the Io Footprint Tail

Geophysical Research Letters, Volume 53, Issue 5, 16 March 2026.
Abstract The Io footprint tail (FPT) region is crucial for studying the interactions between Io and Jupiter's magnetosphere. In this region, Juno spacecraft observed significant acceleration of energetic protons, concurrently with electromagnetic ion cyclotron (EMIC) waves below the proton gyro‐frequency.
Peng Lu, Xing Cao, Xudong Gu, Binbin Ni, Wei Xu, Shaobei Wang, Minyi Long   +6 more
wiley   +1 more source