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math.AP2024
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…
math.AP2024
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…