Author

Moon-Jin Kang

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Preprint Aug 2026

Long-time dynamics toward a generic composite wave for the inflow problem of the Navier--Stokes--Fourier system

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 pattern: the superposition of a degenerate boundary layer, a rarefaction, a viscous contact wave, and a viscous shock. More precisely, if t...

Xushan Huang, Moon-Jin Kang, Ho-Bin Lee et al. · 1 citation

Preprint Sep 2026

Asymptotic stability of viscous shock for the outflow problem of 3D Navier-Stokes system

We establish the asymptotic stability of planar viscous shock waves for the outflow problem of the three-dimensional barotropic compressible Navier--Stokes equations in a half-space, with periodic boundary conditions imposed in the transverse directions. For a weak shock located sufficiently far from the boundary, we p...

Moon-Jin Kang, Hyeonseop Kim, Ho-Bin Lee · 0 citations