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math.AP2026
Asymptotic stability of viscous shock for the outflow problem of 3D Navier-Stokes system
Moon-Jin Kang, Hyeonseop Kim, Hobin Lee
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-spac…
math.AP2026
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…