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math.AP2025
Time-asymptotic stability of composite wave for the one-dimensional compressible fluid of Kortwewg type
Sungho Han, Jeongho Kim
We study the asymptotic stability of a composition of rarefaction and shock waves for the one-dimensional barotropic compressible fluid of Korteweg type, called the Navier-Stokes-K…
math.AP2025
Convergence to Superposition of Boundary Layer, Rarefaction and Shock for the Inflow Problem of the 1D Navier--Stokes Equations
Sungho Han, Moon-Jin Kang, Jeongho Kim +2
We establish the asymptotic stability of solutions to the inflow problem for the one-dimensional barotropic Navier--Stokes equations in half space. When the boundary value is locat…