5 papers · 1 filter
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…
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…
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…
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…