Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion

DOI10.1142/S0218202517500403zbMath1375.35384OpenAlexW2731424276MaRDI QIDQ5365360

Peicheng Zhu, Yeping Li

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1142/s0218202517500403

zbMATH Keywords

energy estimatesasymptotic stabilitystationary solutionrarefaction waveviscous ions flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (8)

Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation ⋮ Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data ⋮ Stability of the planar rarefaction wave to three-dimensional full compressible Navier–Stokes–Poisson system ⋮ Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier-Stokes-Poisson system under large initial perturbation ⋮ Stability of the stationary solution to an outflow problem for the bipolar quantum Navier-Stokes-Poisson equations ⋮ Stability of planar shock wave for the 3-dimensional compressible Navier-Stokes-Poisson equations ⋮ Stability of ion-acoustic shock profiles to one-dimensional compressible Navier-Stokes-Poisson equations with large density oscillation ⋮ Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system

Cites Work

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• Instability theory of the Navier-Stokes-Poisson equations
• Existence and optimal decay rates of the compressible non-isentropic Navier-Stokes-Poisson models with external forces
• Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
• Contact discontinuity with general perturbations for gas motions
• Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
• Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients
• Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
• The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data
• Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
• Applications of centre manifold theory
• Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
• Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas
• Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Quasi-hydrodynamic semiconductor equations
• A remark about global existence for the Navier-Stokes-Poisson system
• Stability of rarefaction waves of the Navier-Stokes-Poisson system
• Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data
• Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity
• Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations
• Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System
• On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
• On the Nonexistence of Global Weak Solutions to the Navier–Stokes–Poisson Equations in ℝ^N
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Local and global existence for the coupled Navier-Stokes-Poisson problem
• Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
• A quasineutral type limit for the Navier–Stokes–Poisson system with large data
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
• Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas

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