Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation
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Publication:5270345
DOI10.1137/16M108536XzbMath1371.35196OpenAlexW2945954216MaRDI QIDQ5270345
Publication date: 23 June 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m108536x
Stability in context of PDEs (35B35) General aerodynamics and subsonic flows (76G25) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (17)
The existence and stability of stationary solutions of the inflow problem for full compressible Navier-Stokes-Poisson system ⋮ Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space ⋮ Global existence of smooth solutions for the diffusion approximation model of general gas in radiation hydrodynamics ⋮ The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas ⋮ Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space ⋮ Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space ⋮ Recent progress on outflow/inflow problem for viscous multi-phase flow ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Nonlinear stability of planar stationary solutions to the viscous two-phase flow model in \(\mathbb{R}_+^3\) ⋮ Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids ⋮ Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow ⋮ Nonlinear stability of viscous shock waves for one-dimensional nonisentropic compressible Navier-Stokes equations with a class of large initial perturbation ⋮ Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system ⋮ Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space ⋮ Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity ⋮ Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system
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