2 citations · 2 across the 7 of their papers we have counts for
8 papers
Uniform Stability of degenerate Oleinik shock and rarefaction waves under large perturbations
Moon-Jin Kang, Bongsuk Kwon, Wanyong Shim
We study the uniform stability of composite waves consisting of a degenerate Oleinik shock and a rarefaction wave for scalar viscous conservation laws. We consider cubic-type fluxe…
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…
Long-Time Behavior towards Shock Profiles for the Navier-Stokes-Poisson System
Moon-Jin Kang, Bongsuk Kwon, Wanyong Shim
We study the stability of shock profiles in one spatial dimension for the isothermal Navier-Stokes-Poisson (NSP) system, which describes the dynamics of ions in a collision-dominat…
The method of -contraction with shifts used for long-time behavior toward viscous shock
Sungho Han, Moon-Jin Kang, Hobin Lee
We revisit the method of -contraction with shifts used for long-time behavior of barotropic Navier-Stokes flows perturbed from a Riemann shock. For the usage of the method of $a…
Long-time behavior toward composite wave of shocks for 3D barotropic navier-stokes system
Moon-Jin Kang, Hobin Lee
We consider the barotropic Navier-Stokes system in three space dimensions with periodic boundary condition in the transversal direction. We show the long-time behavior of the 3D ba…
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…
Long-time behavior towards viscous-dispersive shock for Navier-Stokes equations of Korteweg type
Sungho Han, Moon-Jin Kang, Jeongho Kim +1
We consider the so-called Naiver-Stokes-Korteweg(NSK) equations for the dynamics of compressible barotropic viscous fluids with internal capillarity. We handle the time-asymptotic…
From Navier-Stokes to BV solutions of the barotropic Euler equations
Geng Chen, Moon-Jin Kang, Alexis F. Vasseur
In the realm of mathematical fluid dynamics, a formidable challenge lies in establishing inviscid limits from the Navier-Stokes equations to the Euler equations, wherein physically…