1 citations · 2 across the 12 of their papers we have counts for
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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…
Global Existence of Classical Solutions to Brenner-Navier-Stokes-Fourier System for Large Data
Saehoon Eo, Namhyun Eun, Moon-Jin Kang
We study the 1D Brenner-Navier-Stokes-Fourier (BNSF) system, proposed as a refinement of the classical Navier--Stokes--Fourier model through the introduction of the volume velocity…
Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks
Mingi Choe, Moon-Jin Kang, Chanwoo Kim
We establish the hydrodynamic limit of the one-dimensional Boltzmann equation with hard-sphere collisions toward Riemann solutions of the compressible Euler system. The Riemann sol…
-contraction of Shock Waves for KdV-Burgers Equation
Geng Chen, Namhyun Eun, Moon-Jin Kang +1
The KdV-Burgers equation is a canonical model describing the interplay between nonlinearity, viscosity and dispersion, and it admits viscous-dispersive shocks as traveling wave sol…
Uniform Stability of Oscillatory Shocks for KdV-Burgers Equation
Geng Chen, Namhyun Eun, Moon-Jin Kang +1
We study viscous-dispersive shock waves with infinite oscillations of the Korteweg-de Vries-Burgers (KdVB) equation. First, we establish detail structures of the shock waves, inclu…
Contraction of viscous-dispersive shocks: Zero viscosity-capillarity limits
Namhyun Eun, Moon-Jin Kang, Jeongho Kim
We prove the contraction property of any large solution perturbed from a viscous-dispersive shock wave of the Navier--Stokes--Korteweg (NSK) system. The contraction holds up to a d…
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…
Stability of a Riemann Shock in a Physical Class: From Brenner-Navier-Stokes-Fourier to Euler
Saehoon Eo, Namhyun Eun, Moon-Jin Kang
The stability of an irreversible singularity, such as a Riemann shock to the full Euler system, in the absence of any technical conditions on perturbations, remains a major open pr…
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…