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math.AP2026
Weak-BV stability of inflow and outflow problems for the isentropic Euler system
Moon-Jin Kang, Jiayun Meng, HyeonSeop Oh +1
We study the well-posedness of small BV solutions to the one-dimensional isentropic Euler system on the half-line under inflow and outflow boundary conditions. These boundary condi…
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…
math.AP2026
Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type
Sungho Han, Jeongho Kim, HyeonSeop Oh
We study the time-asymptotic stability of viscous-dispersive shock waves for the outflow problem of the barotropic Navier--Stokes--Korteweg equations, which describe viscous fluids…