Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type
From MaRDI portal
Publication:4614991
DOI10.1088/1361-6544/aaea89zbMath1408.35146arXiv1712.09485OpenAlexW2963221089MaRDI QIDQ4614991
Publication date: 1 February 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09485
global stabilityrarefaction waveslarge initial perturbationviscous contact wavecompressible Korteweg model
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (6)
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Asymptotic Stability of the Superposition of Viscous Contact Wave with Rarefaction Waves for the Compressible Navier--Stokes--Maxwell Equations ⋮ Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity ⋮ Asymptotic behavior of solutions to the full compressible Navier-Stokes-Korteweg equations in the half space
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space
- Existence of global weak solution for 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
- Global strong solution for the Korteweg system with quantum pressure in dimension \(N\geq 2\)
- Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force
- Global stability of viscous contact wave for 1-D compressible Navier-Stokes equations
- Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data
- Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
- Contact discontinuity with general perturbations for gas motions
- Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier-Stokes equations with capillarity and nonmonotonic pressure
- Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
- Existence of strong solutions for nonisothermal Korteweg system
- On the thermomechanics of interstitial working
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
- Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Global solutions of a high dimensional system for Korteweg materials
- Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
- 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
- Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
- On the global stability of contact discontinuity for compressible Navier-Stokes equations
- Existence of a Global Strong Solution and Vanishing Capillarity-Viscosity Limit in One Dimension for the Korteweg System
- Nonlinear stability of viscous contact wave for the one-dimensional compressible fluid models of Korteweg type
- Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
- 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
- A class of similarity solutions of the nonlinear diffusion equation
- Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier–Stokes equations with temperature-dependent viscosity
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Shock waves for compressible navier‐stokes equations are stable
- On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
- Existence and time-asymptotics of global strong solutions to dynamic Korteweg models
- Large-time behavior of solutions to the inflow problem of full compressible Navier–Stokes equations with large perturbation
- Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
- Solutions in the large for some nonlinear hyperbolic conservation laws
- Existence of solutions for compressible fluid models of Korteweg type
- Existence of global strong solution for Korteweg system with large infinite energy initial data
This page was built for publication: Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type
