Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients
DOI10.3934/krm.2016004zbMath1360.35130OpenAlexW2361083406MaRDI QIDQ510031
Lusheng Wang, Bingkang Huang, Qing-Hua Xiao
Publication date: 16 February 2017
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2016004
one-dimensional compressible Navier-Stokes equationslarge initial dataglobal nonlinear stability of rarefaction wavestemperature and density dependent transport coefficients
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Boltzmann equations (35Q20)
Related Items (14)
Cites Work
- Some uniform estimates and large-time behavior of solutions to one-dimensional compressible Navier-Stokes system in unbounded domains with large data
- Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
- On the equations of one-dimensional motion of compressible viscous fluids
- Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
- Contact discontinuity with general perturbations for gas motions
- Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
- Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics
- Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
- Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Large-time behavior of solutions to the equations of a one-dimensional viscous polytropic ideal gas in unbounded domains
- Pointwise decay to contact discontinuities for systems of viscous conservation laws
- The mathematical theory of dilute gases
- On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- One-dimensional compressible Navier-Stokes equations with large density oscillation
- Compressible Navier-Stokes equations with temperature dependent heat conductivity
- Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
- Stability of stationary solutions to the outflow problem for full compressible Navier–Stokes equations with large initial perturbation
- Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data
- One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
- One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation
- 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
- Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
- Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas
- Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Shock waves for compressible navier‐stokes equations are stable
- Shock waves in conservation laws with physical viscosity
- Solutions in the large for some nonlinear hyperbolic conservation laws
- Asymptotic Theory of the Boltzmann Equation
- Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
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