Asymptotic stability of a boundary layer to the Euler-Poisson equations for a multicomponent plasma

DOI10.3934/krm.2016008zbMath1360.35194OpenAlexW2367927217MaRDI QIDQ510037

Masahiro Suzuki

Publication date: 16 February 2017

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2016008

zbMATH Keywords

convergence ratestationary solutionslarge-time behaviorgeneralized Bohm criterionmulticomponent systemsheath

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) PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (6)

On approximate solutions to the Euler-Poisson system with boundary layers ⋮ The kinetic and hydrodynamic Bohm criteria for plasma sheath formation ⋮ 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 ⋮ Quasi-neutral limit for Euler-Poisson system in the presence of boundary layers in an annular domain

Cites Work

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• Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Global existence of plasma ion-sheaths and their dynamics
• Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics
• STABILITY FOR SOLUTIONS OF A STATIONARY EULER–POISSON PROBLEM

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