Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations (Q2171206)

scientific article

Language	Label	Description	Also known as
English	Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations	scientific article

Statements

instance of

scholarly article

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title

Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations (English)

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Nonlinear Analysis. Real World Applications

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publication date

23 September 2022

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zbMATH Keywords

planar rarefaction wave

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compressible Navier-Stokes-Korteweg equations

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zero-viscosity-capillarity limit

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energy estimate

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.nonrwa.2022.103685

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cites work

On the thermomechanics of interstitial working

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On compressible Korteweg fluid-like materials

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Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations

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

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Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity

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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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Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids

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Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space

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

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Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible fluids

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Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids

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

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

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

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Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure

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Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in \(\mathbb{R}^3\)

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Optimal decay rates for the compressible fluid models of Korteweg type

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Existence of a Global Strong Solution and Vanishing Capillarity-Viscosity Limit in One Dimension for the Korteweg System

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Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations

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Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations

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Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids

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Viscous limits for piecewise smooth solutions to systems of conservation laws

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Q3829237

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Vanishing viscosity solutions of nonlinear hyperbolic systems

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Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

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Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations

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Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity

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Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem

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Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids

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Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations

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The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients

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Remarks about the inviscid limit of the Navier-Stokes system

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Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases

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Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws

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STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS

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Global Ill‐Posedness of the Isentropic System of Gas Dynamics

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Uniqueness of rarefaction waves in multidimensional compressible Euler system

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Hyperbolic systems of conservation laws II

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Q4746129

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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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Identifiers

zbMATH Open document ID

1504.35403

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DOI

10.1016/j.nonrwa.2022.103685

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2171206