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Nonlinear Phase Mixing in Einstein-Vlasov System near Schwarzschild Spacetime
Saehoon Eo
We study the Einstein-Vlasov system near the Schwarzschild spacetime in spherical symmetry. In particular, we consider the case when the matter is supported on bounded geodesics. I…
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 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…
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…