4 papers
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…
Traveling Wave Solutions to a Large Class of Brenner-Navier-Stokes-Fourier Systems
Saehoon Eo, Namhyun Eun
The Brenner-Navier-Stokes-Fourier (BNSF) system, introduced by Howard Brenner, was developed to address some deficiencies in the classical Navier-Stokes-Fourier system, based on th…
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…
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…