4 papers · 1 filter
Long-time dynamics toward a generic composite wave for the inflow problem of the Navier--Stokes--Fourier system
Xushan Huang, Moon-Jin Kang, Hobin Lee +1
We study the time-asymptotic stability of solutions to the inflow problem for the one-dimensional Navier--Stokes--Fourier system on the half-line. We consider the most generic wave…
Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems
Xushan Huang, Hobin Lee, HyeonSeop Oh
We investigate the time-asymptotic stability of solutions to the one-dimensional Navier-Stokes-Fourier system in the half-space, focusing on the outflow and impermeable wall proble…
Time-asymptotic stability of composite wave of viscous shocks and viscous contact wave for Navier-Stokes-Fourier equations
Xushan Huang, Hobin Lee
We investigate the nonlinear time-asymptotic stability of the composite wave consisting of two viscous shocks and a viscous contact discontinuity for the one-dimensional compressib…
Asymptotic behavior toward viscous shock for impermeable wall and inflow problem of barotropic Navier-Stokes equations
Xushan Huang, Moon-Jin Kang, Jeongho Kim +1
We consider the compressible barotropic Navier-Stokes equations in a half-line and study the time-asymptotic behavior toward the outgoing viscous shock wave. Precisely, we consider…