Quasi-neutral limit for Euler-Poisson system in the presence of boundary layers in an annular domain

DOI10.1016/j.jde.2020.06.011zbMath1442.35018OpenAlexW3036768652MaRDI QIDQ778200

Chang-Yeol Jung, Masahiro Suzuki, Bongsuk Kwon

Publication date: 2 July 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.011

zbMATH Keywords

Bohm criterionelliptic-hyperbolic systemwell-prepared initial datazero Debye length limit

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (6)

Boundary layer problem and combined limits of the two-fluid Navier-Stokes-Poisson system ⋮ On approximate solutions to the Euler-Poisson system with boundary layers ⋮ The kinetic and hydrodynamic Bohm criteria for plasma sheath formation ⋮ Nonlinear stability of the bipolar Navier-Stokes-Poisson system with boundary ⋮ Asymptotic stability of boundary layer to the multi-dimensional isentropic Euler-Poisson equations arising in plasma physics ⋮ A Half-Space Problem on the Full Euler--Poisson System

Cites Work

• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. II
• Asymptotic stability of a boundary layer to the Euler-Poisson equations for a multicomponent plasma
• Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Large-time behavior of solutions to an outflow problem for a shallow water model
• Quasi-neutral limit for the Euler–Poisson system in the presence of plasma sheaths with spherical symmetry
• Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics
• Quasineutral limit of an euler-poisson system arising from plasma physics
• Derivation of the ion equation
• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries

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