Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations

DOI10.1007/s11425-005-0062-9zbMath1110.35072OpenAlexW1868103684MaRDI QIDQ854652

Shu Wang, Ling Xiao, Fu-Cai Li

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-005-0062-9

zbMATH Keywords

kinetic equationsgas of charged particles in the external electric fieldrelative-entropy method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (8)

Quasi-neutral limit and the initial layer problem of the drift-diffusion model ⋮ Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics ⋮ Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations ⋮ Quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics ⋮ Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics ⋮ Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors ⋮ The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data ⋮ The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data

Cites Work

• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions
• Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system
• Nonstationary plane flow of viscous and ideal fluids
• FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
• Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions
• On Deterministic Particle Methods for Solving Vlasov--Poisson--Fokker--Planck Systems
• Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension
• Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
• Convergence of Nonlinear Schrödinger–Poisson Systems to the Compressible Euler Equations
• CONVERGENCE OF THE SCHRÖDINGER–POISSON SYSTEM TO THE INCOMPRESSIBLE EULER EQUATIONS
• PARABOLIC LIMIT AND STABILITY OF THE VLASOV–FOKKER–PLANCK SYSTEM
• convergence of the vlasov-poisson system to the incompressible euler equations
• Brownian Motion, Dynamical Friction, and Stellar Dynamics
• Stochastic Problems in Physics and Astronomy
• 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.
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