Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system (Q2074459)

scientific article; zbMATH DE number 7471760

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English	Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system	scientific article; zbMATH DE number 7471760

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instance of

scholarly article

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title

Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system (English)

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author

Hakho Hong

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published in

Journal of Differential Equations

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publication date

10 February 2022

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zbMATH Keywords

Navier-Stokes-Korteweg system

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capillarity

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inflow problem

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shock wave

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stationary solution

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stability

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jde.2022.01.012

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cites work

On the thermomechanics of interstitial working

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Solutions for Two-Dimensional System for Materials of Korteweg Type

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Global solutions of a high dimensional system for Korteweg materials

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Existence of solutions for compressible fluid models of Korteweg type

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Strong solutions for a compressible fluid model of Korteweg type

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Existence of global weak solution for compressible fluid models of Korteweg type

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Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy

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Q4336725

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Existence of strong solutions for nonisothermal Korteweg system

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Strong well-posedness for a Korteweg-type model for the dynamics of a compressible non-isothermal fluid

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Optimal decay rates for the compressible fluid models of Korteweg type

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Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force

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Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type

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Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system

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Existence and time-asymptotics of global strong solutions to dynamic Korteweg models

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Optimal decay rates of the compressible fluid models of Korteweg type

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Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\)

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Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces

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Time periodic solutions to Navier-Stokes-Korteweg system with friction

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Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type

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Asymptotic stability of strong rarefaction waves for the compressible fluid models of Korteweg type

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Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data

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Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type

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Nonlinear stability of viscous contact wave for the one-dimensional compressible fluid models of Korteweg type

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Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type

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Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system

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Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect

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Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate

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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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Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.

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Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas

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Stability of Wave Patterns to the Inflow Problem of Full Compressible Navier–Stokes Equations

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Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space

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Large-Time Behavior of Solutions to the Inflow Problem of Full Compressible Navier–Stokes Equations

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Asymptotic stability of viscous contact discontinuity to an inflow problem for compressible Navier-Stokes equations

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Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas

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Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation

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Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation

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Large-time behavior of solutions to the inflow problem of full compressible Navier–Stokes equations with large perturbation

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Applications of centre manifold theory

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Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary

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Identifiers

zbMATH Open document ID

1482.35171

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Mathematics Subject Classification ID

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10.1016/J.JDE.2022.01.012

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Sitelinks

Mathematics(1 entry)

mardi Publication:2074459