4 papers · 2 filters
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…