4 papers
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…
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…