Variational Asymptotic Preserving Scheme for the Vlasov--Poisson--Fokker--Planck System
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Publication:5857931
DOI10.1137/20M1350431zbMath1467.82071arXiv2007.01969OpenAlexW3136481374MaRDI QIDQ5857931
Li Wang, Ming Yan, Wuzhe Xu, José Antonio Carrillo
Publication date: 8 April 2021
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01969
Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Vlasov equations (35Q83) Fokker-Planck equations (35Q84) Variational methods applied to problems in statistical mechanics (82M30)
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Asymptotic-preserving schemes for multiscale physical problems, A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model, The back-and-forth method for Wasserstein gradient flows
Cites Work
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- Computational Optimal Transport: With Applications to Data Science
- An asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system in the high field regime
- A note on algebraic multigrid methods for the discrete weighted Laplacian
- On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
- Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in one dimension
- Fisher information regularization schemes for Wasserstein gradient flows
- Generic global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions
- On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
- On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data
- Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system
- Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Device benchmark comparisons via kinetic, hydrodynamic, and high-field models
- A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system
- Proximal Newton-Type Methods for Minimizing Composite Functions
- Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
- Global weak solution of the vlasov–poisson system for small electrons mass
- On Deterministic Particle Methods for Solving Vlasov--Poisson--Fokker--Planck Systems
- Runaway Phenomena and Fluid Approximation Under High Fields in Semiconductor Kinetic Theory
- Existence of global weak solutions to one‐component vlasov‐poisson and fokker‐planck‐poisson systems in one space dimension with measures as initial data
- Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System
- The Variational Formulation of the Fokker--Planck Equation
- Convergences of the squareroot approximation scheme to the Fokker–Planck operator
- On the initial value problem for the Vlasov‐Poisson‐Fokker‐Planck system with initial data in Lp spaces
- The Numerical Analysis of Random Particle Methods Applied to Vlasov–Poisson Fokker-Planck Kinetic Equations
- Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
- LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS
- High-field limit for the Vlasov-Poisson-Fokker-Planck system.