Pencil-Beam Approximation of Stationary Fokker--Planck

DOI10.1137/19M1295775zbMath1450.35254arXiv1910.12150MaRDI QIDQ5116571

Benjamín Palacios, Guillaume Bal

Publication date: 18 August 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12150

zbMATH Keywords

Wasserstein distanceFokker-Plancknarrow beamFermi pencil-beam

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Boundary value problems for linear higher-order PDEs (35G15) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (2)

Pencil-beam approximation of fractional Fokker-Planck ⋮ Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation

Cites Work

• Hypoelliptic regularity in kinetic equations.
• Generalized stability estimates in inverse transport theory
• The Fokker-Planck operator as an asymptotic limit in anisotropic media
• Well-posedness of the Fokker-Planck equation in a scattering process
• The weak Harnack inequality for the Boltzmann equation without cut-off
• The radiative transfer equation in the forward-peaked regime
• Kinetic limits for waves in a random medium
• Hypoelliptic second order differential equations
• On the kinetic Fokker-Planck equation in the half-space with absorbing barriers
• Hypoelliptic estimates in radiative transfer
• An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields
• Mathematical modeling for 2D light-sheet fluorescence microscopy image reconstruction
• Existence of solutions and diffusion approximation for a model Fokker-Planck equation
• THE FOKKER-PLANCK OPERATOR AS AN ASYMPTOTIC LIMIT
• Global weak solutions for the initial-boundary-value problems Vlasov-Poisson-Fokker-Planck System
• Introduction to Riemannian Manifolds
• Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
• The Fokker--Planck Equation with Absorbing Boundary Conditions in Bounded Domains
• Stability of Inverse Transport Equation in Diffusion Scaling and Fokker--Planck Limit
• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pencil-Beam Approximation of Stationary Fokker--Planck