4 papers · 2 filters
Time-Asymptotic Stability of the Stationary Solution to the Impermeable Wall Problem for the radially Symmetric Navier-Stokes-Korteweg Equations
Jeongho Kim
We study the asymptotic behavior of the initial-boundary value problem for the radially symmetric Navier--Stokes--Korteweg (NSK) equations defined on the exterior domain $Ω= \{x\in…
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…
Stationary solutions to the spherically symmetric compressible fluid with capillarity effect
Jeongho Kim
We consider the spherically symmetric Navier--Stokes--Korteweg (NSK) system on the exterior domain with when the boundary and far-field dat…
Contraction of viscous-dispersive shocks: Zero viscosity-capillarity limits
Namhyun Eun, Moon-Jin Kang, Jeongho Kim
We prove the contraction property of any large solution perturbed from a viscous-dispersive shock wave of the Navier--Stokes--Korteweg (NSK) system. The contraction holds up to a d…