Ion-acoustic shock in a collisional plasma
From MaRDI portal
Publication:2180595
DOI10.1016/j.jde.2020.03.012zbMath1437.35571arXiv1806.08501OpenAlexW3010753456MaRDI QIDQ2180595
Zhu Zhang, Shuangqian Liu, Renjun Duan
Publication date: 14 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.08501
nonlinear stabilitycollisional plasmaNavier-Stokes-Poisson equationsKdV-Burgers equationsion-acoustic shock
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hydro- and aero-acoustics (76Q05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Traveling wave solutions (35C07)
Related Items
Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation ⋮ Stability of the planar rarefaction wave to three-dimensional full compressible Navier–Stokes–Poisson system ⋮ Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma ⋮ Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data ⋮ Stability of planar shock wave for the 3-dimensional compressible Navier-Stokes-Poisson equations ⋮ Long wavelength limit of non-isentropic Euler-Poisson system ⋮ Stability of ion-acoustic shock profiles to one-dimensional compressible Navier-Stokes-Poisson equations with large density oscillation
Cites Work
- Unnamed Item
- Unnamed Item
- Invariant manifolds for steady Boltzmann flows and applications
- Global smooth ion dynamics in the Euler-Poisson system
- 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
- Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD
- Existence and stability of viscoelastic shock profiles
- Multi-dimensional wave propagation over a Burgers shock profile
- Stability of isentropic Navier-Stokes shocks in the high-Mach number limit
- Time-asymptotic behavior of wave propagation around a viscous shock profile
- Stable viscosity matrices for systems of conservation laws
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Bifurcations and trajectories joining critical points
- Nonlinear stability of viscous shock waves
- Travelling wave analysis of an isothermal Euler-Poisson model
- Global existence of plasma ion-sheaths and their dynamics
- Pointwise Green function bounds for shock profiles of systems with real viscosity
- Multidimensional stability of large-amplitude Navier-Stokes shocks
- One-dimensional stability of viscous strong detonation waves
- KdV limit of the Euler-Poisson system
- Existence of Chapman--Jouguet Detonation and Deflagration Waves
- The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
- The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
- Asymptotic Stability of Boundary Layers to the Euler–Poisson Equations Arising in Plasma Physics
- Heteroclinic orbits with fast transitions: a new construction of detonation profiles
- Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons
- Nonlinear wave propagations over a Boltzmann shock profile
- The structure of a shock wave in a fully ionized gas
- Stability of Viscous Scalar Shock Fronts in Several Dimensions
- Remarks on the Stability of Shock Profiles for Conservation Laws with Dissipation
- Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Discrete shock profiles for systems of conservation laws
- Continuum shock profiles for discrete conservation laws I: Construction
- Existence and Bifurcation of Viscous Profiles for All Intermediate Magnetohydrodynamic Shock Waves
- Pointwise convergence to shock waves for viscous conservation laws
- Quasineutral limit of an euler-poisson system arising from plasma physics
- Existence of Relaxation Shock Profiles for Hyperbolic Conservation Laws
- On the structure of magnetohydrodynamic shock waves
- Shock waves in conservation laws with physical viscosity
- Viscous Hyperstabilization of Detonation Waves in One Space Dimension
- Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
- Structure of a Plasma Shock Wave
- Shock waves as limits of progressive wave solutions of higher order equations, II
- The Existence and Limit Behavior of the One-Dimensional Shock Layer
- Hyperbolic Conservation Laws in Continuum Physics
