Asymptotic Stability of Plasma Boundary Layers to the Euler--Poisson Equations with Fluid-Boundary Interaction

DOI10.1137/140972019zbMath1328.35176OpenAlexW958192295MaRDI QIDQ5500576

Masashi Ohnawa

Publication date: 7 August 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140972019

zbMATH Keywords

asymptotic stabilityboundary layerfluid-structure interactionEuler-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (4)

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 ⋮ Effects of Fluid-Boundary Interaction on the Stability of Boundary Layers in Plasma Physics ⋮ $L^\infty$-stability of Discontinuous Traveling Waves in a Hyperbolic-Elliptic Coupled System

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries. II
• 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
• Analysis of a linear fluid-structure interaction problem
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Linear evolution equations of hyperbolic type. II
• A geometric level-set formulation of a plasma-sheath interface
• Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics
• STABILITY FOR SOLUTIONS OF A STATIONARY EULER–POISSON PROBLEM
• On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
• Fluid-Structure Interaction: A Theoretical Point of View
• Boundary layers and quasi-neutral limit in steady state Euler–Poisson equations for potential flows
• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries

This page was built for publication: Asymptotic Stability of Plasma Boundary Layers to the Euler--Poisson Equations with Fluid-Boundary Interaction