Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
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Publication:1018396
DOI10.1016/j.jde.2009.01.017zbMath1167.35032OpenAlexW2047897294MaRDI QIDQ1018396
Publication date: 19 May 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.017
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Hydrodynamic stability (76E99) Boundary-layer theory for compressible fluids and gas dynamics (76N20)
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Cites Work
- Unnamed Item
- Unnamed Item
- 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
- Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
- Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
- Contact discontinuity with general perturbations for gas motions
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Global solutions to the initial value problem for the equations of one- dimensional motion of viscous polytropic gases
- Pointwise decay to contact discontinuities for systems of viscous conservation laws
- 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
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- On the stability of rarefaction wave solutions for viscous \(p\)-system with boundary effect
- On the global stability of contact discontinuity for compressible Navier-Stokes equations
- Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids
- Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation
- Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
- 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
- Viscous Shock Wave to a Gas-Solid Free Boundary Problem for Compressible Gas
- Shock waves for compressible navier‐stokes equations are stable
- Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
- Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas