Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space

DOI10.1007/s00033-023-02064-zzbMath1522.76071OpenAlexW4384824054MaRDI QIDQ6113501

No author found.

Publication date: 9 August 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-023-02064-z

zbMATH Keywords

energy methodlocal existencestationary solutionrarefaction waveiteration techniqueviscous shock wavea priori decay estimate

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Cites Work

• Unnamed Item
• Existence of global weak solution for compressible fluid models of Korteweg type
• Existence of global strong solution for the compressible Navier-Stokes system and the Korteweg system in two-dimension
• Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in \(\mathbb{R}^3\)
• Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
• Asymptotic stability of strong rarefaction waves for the compressible fluid models of Korteweg type
• Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type
• Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces
• Time periodic solutions to Navier-Stokes-Korteweg system with friction
• Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space
• On compressible Korteweg fluid-like materials
• Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
• Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation
• Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
• Strong solutions for a compressible fluid model of Korteweg type
• Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure
• Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
• Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
• On the thermomechanics of interstitial working
• 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
• Global solutions of a high dimensional system for Korteweg materials
• Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids
• Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate
• Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect
• Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
• Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
• Optimal decay rates for the compressible fluid models of Korteweg type
• Optimal decay rates of the compressible fluid models of Korteweg type
• Existence of a Global Strong Solution and Vanishing Capillarity-Viscosity Limit in One Dimension for the Korteweg System
• Large-Time Behavior of Solutions to the Inflow Problem of Full Compressible Navier–Stokes Equations
• Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
• Solutions for Two-Dimensional System for Materials of Korteweg Type
• Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
• Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• Stability of Wave Patterns to the Inflow Problem of Full Compressible Navier–Stokes Equations
• Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition
• Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space
• Existence of smooth solutions for the compressible barotropic Navier‐Stokes‐Korteweg system without increasing pressure law
• Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids
• Existence and time-asymptotics of global strong solutions to dynamic Korteweg models
• Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation
• Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations
• Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations
• Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity
• Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
• Existence of solutions for compressible fluid models of Korteweg type
• Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas
• Existence of global strong solution for Korteweg system with large infinite energy initial data

This page was built for publication: Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space