Stability of the stationary solution to an outflow problem for the bipolar quantum Navier-Stokes-Poisson equations

DOI10.3934/cpaa.2023070zbMath1520.35125OpenAlexW4379232921MaRDI QIDQ6176246

Qiwei Wu, Peicheng Zhu

Publication date: 22 August 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023070

zbMATH Keywords

asymptotic behaviorenergy methodstationary solutionoutflow problembipolar quantum Navier-Stokes-Poisson equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Perturbations in context of PDEs (35B20) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system
• Stationary waves to the two-fluid non-isentropic Navier-Stokes-Poisson system in a half line: existence, stability and convergence rate
• Existence and stability of stationary solution to compressible Navier-Stokes-Poisson equations in half line
• Full compressible Navier-Stokes equations for quantum fluids: derivation and numerical solution
• Quasineutral limit for the quantum Navier-Stokes-Poisson equations
• Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
• Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
• Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
• Applications of centre manifold theory
• Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
• Global solutions of a high dimensional system for Korteweg materials
• Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
• Relaxation limit from the quantum Navier-Stokes equations to the quantum drift-diffusion equation
• Stationary solutions of outflow problem for full compressible Navier-Stokes-Poisson system: existence, stability and convergence rate
• Large-time behavior of solutions to the bipolar quantum Navier-Stokes-Poisson equations
• Asymptotic stability of the stationary wave for the quantum Navier-Stokes-Poisson system
• On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition
• Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids
• On global existence of weak solutions to a viscous capillary model of plasma
• Asymptotic stability of the rarefaction wave for the compressible quantum Navier-Stokes-Poisson equations
• Existence of global weak solutions for Navier-Stokes-Poisson equations with quantum effect and convergence to incompressible Navier-Stokes equations
• STATIONARY WAVES TO VISCOUS HEAT-CONDUCTIVE GASES IN HALF-SPACE: EXISTENCE, STABILITY AND CONVERGENCE RATE
• Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors
• Solutions for Two-Dimensional System for Materials of Korteweg Type
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Derivation of viscous correction terms for the isothermal quantum Euler model
• Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion
• Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.

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