Recent progress on outflow/inflow problem for viscous multi-phase flow

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Liquid-liquid two component flows (76T06)

Cites Work

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Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system
Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space
Asymptotic behavior of solutions to the full compressible Navier-Stokes equations in the half space
Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation
Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space
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
Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space
Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
Existence and nonlinear stability of stationary solutions to the full two-phase flow model in a half line
Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow
Wave phenomena to the three-dimensional fluid-particle model
Remarks on global weak solutions to a two-fluid type model
Stability of stationary solutions to the inflow problem for the two-fluid non-isentropic Navier-Stokes-Poisson system
Convergence rate of solutions toward stationary solutions to the bipolar Navier-Stokes-Poisson equations in a half line
Review on mathematical analysis of some two-phase flow models
Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line
Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
Stability of stationary solutions to the outflow problem for full compressible Navier–Stokes equations with large initial perturbation
STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model
Large-time behaviour of solutions to the outflow problem of full compressible Navier–Stokes equations
STATIONARY WAVES TO VISCOUS HEAT-CONDUCTIVE GASES IN HALF-SPACE: EXISTENCE, STABILITY AND CONVERGENCE RATE
Large-Time Behavior of Solutions to the Inflow Problem of Full Compressible Navier–Stokes Equations
Convergence Rate Toward Planar Stationary Waves for Compressible Viscous Fluid in Multidimensional Half Space
Stability of Wave Patterns to the Inflow Problem of Full Compressible Navier–Stokes Equations
Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation
Existence and asymptotic stability of stationary waves for symmetric hyperbolic–parabolic systems in half-line
Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
Convergence rate of stationary solutions to outflow problem for full Navier–Stokes equations
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

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