Quasi-neutral limit for the Euler–Poisson system in the presence of plasma sheaths with spherical symmetry

DOI10.1142/S0218202516500561zbMath1356.35249OpenAlexW2511878437MaRDI QIDQ2833263

Masahiro Suzuki, Chang-Yeol Jung, Bongsuk Kwon

Publication date: 17 November 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202516500561

zbMATH Keywords

boundary layersquasi-neutral limitEuler-Poisson systemplasma sheaths

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Euler equations (35Q31) PDEs in connection with statistical mechanics (35Q82) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (10)

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 ⋮ Stability and existence of stationary solutions to the Euler-Poisson equations in a domain with a curved boundary ⋮ A Half-Space Problem on the Full Euler--Poisson System ⋮ Time-Local Solvability of the Degond--Lucquin-Desreux--Morrow Model for Gas Discharge ⋮ Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \) ⋮ Quasi-neutral limit for Euler-Poisson system in the presence of boundary layers in an annular domain

Cites Work

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• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. II
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics
• STABILITY FOR SOLUTIONS OF A STATIONARY EULER–POISSON PROBLEM
• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries

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