1 citations · 2 across the 9 of their papers we have counts for
10 papers
Weak-BV stability of inflow and outflow problems for the isentropic Euler system
Moon-Jin Kang, Jiayun Meng, HyeonSeop Oh +1
We study the well-posedness of small BV solutions to the one-dimensional isentropic Euler system on the half-line under inflow and outflow boundary conditions. These boundary condi…
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…
Time-asymptotic stability of viscous shocks for the outflow problem of one-dimensional compressible fluids of Korteweg type
Sungho Han, Jeongho Kim, HyeonSeop Oh
We study the time-asymptotic stability of viscous-dispersive shock waves for the outflow problem of the barotropic Navier--Stokes--Korteweg equations, which describe viscous fluids…
Stability of viscous shock for the Navier-Stokes-Fourier system: outflow and impermeable wall problems
Xushan Huang, Hobin Lee, HyeonSeop Oh
We investigate the time-asymptotic stability of solutions to the one-dimensional Navier-Stokes-Fourier system in the half-space, focusing on the outflow and impermeable wall proble…
Stability of Riemann Shocks for isothermal Euler by Inviscid limits of global-in-time large Navier-Stokes flows
Saehoon Eo, Namhyun Eun, Moon-Jin Kang +1
In this paper, we study the isothermal gas dynamics. We first establish the global existence of strong solutions to the one-dimensional isothermal Navier-Stokes system for smooth i…
Asymptotic behavior toward viscous shock for the outflow problem of barotropic Navier-Stokes equations
Moon-Jin Kang, HyeonSeop Oh, Yi Wang
We study the time-asymptotic stability of viscous shock profile for the outflow problem of the barotropic Navier-Stokes equations on the half-line. We consider the case where the f…
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…
Decay of large solutions around shocks to multi-D viscous conservation law with strictly convex flux
Moon-Jin Kang, HyeonSeop Oh
We consider a planar viscous shock for a scalar viscous conservation law with a strictly convex flux in multi-dimensional setting, where the transversal direction is periodic. We f…
Traveling Wave Solutions to Brenner-Navier-Stokes-Fourier system
Saehoon Eo, Namhyun Eun, Moon-Jin Kang +1
As a continuum model for compressible fluid flows, Howard Brenner proposed the so-called Brenner-Navier-Stokes-Fourier(BNSF) system that improves some flaws of the Navier-Stokes-Fo…
decay for large perturbations of viscous shocks for multi-D Burgers equation
Moon-Jin Kang, HyeonSeop Oh
We consider a planar viscous shock of moderate strength for a scalar viscous conservation law in multi-D. We consider a strictly convex flux, as a small perturbation of the Burgers…