Existence and a blow-up criterion of solution to the 3D compressible Navier-Stokes-Poisson equations with finite energy
A Suen - arXiv preprint arXiv:2011.05656, 2020 - arxiv.org
We study the low-energy solutions to the 3D compressible Navier-Stokes-Poisson
equations. We first obtain the existence of smooth solutions with small $ L^ 2$-norm and …
equations. We first obtain the existence of smooth solutions with small $ L^ 2$-norm and …
Global existence of weak solution to Navier–Stokes equations with large external force and general pressure
A Suen - Mathematical Methods in the Applied Sciences, 2014 - Wiley Online Library
We study the 3‐D compressible Navier–Stokes equations with an external potential force
and a general pressure. We prove the global‐in‐time existence of weak solutions with small …
and a general pressure. We prove the global‐in‐time existence of weak solutions with small …
Existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force
A Suen - Journal of Differential Equations, 2021 - Elsevier
We address the global-in-time existence, stability and long time behaviour of weak solutions
of the three-dimensional compressible Navier-Stokes equations with potential force. We …
of the three-dimensional compressible Navier-Stokes equations with potential force. We …
Existence and uniqueness of small energy weak solution to multi-dimensional compressible Navier-Stokes equations with large external potential force
KL Cheung, A Suen - Journal of Mathematical Physics, 2016 - pubs.aip.org
We study the 3-D compressible Navier-Stokes equations with an external potential force and
a general non-decreasing pressure. We prove the global-in-time existence of weak solutions …
a general non-decreasing pressure. We prove the global-in-time existence of weak solutions …
Global regularity for the 3D compressible magnetohydrodynamics with general pressure
A Suen - arXiv preprint arXiv:2012.02971, 2020 - arxiv.org
We address the compressible magnetohydrodynamics (MHD) equations in $\mathbb {R}^
3$ and establish a blow-up criterion for the local strong solutions in terms of the density only …
3$ and establish a blow-up criterion for the local strong solutions in terms of the density only …
Some Serrin type blow‐up criteria for the three‐dimensional viscous compressible flows with large external potential force
A Suen - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
We provide a Serrin type blow‐up criterion for the 3‐D viscous compressible flows with large
external potential force. For the Cauchy problem of the 3‐D compressible Navier–Stokes …
external potential force. For the Cauchy problem of the 3‐D compressible Navier–Stokes …
Refined blow-up criteria for the three-dimensional viscous compressible flows with large external potential force and general pressure
A Suen - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
We obtain some refined blow-up criteria for the three-dimensional viscous compressible
flows with large external potential force and general pressure. For the Cauchy problem of …
flows with large external potential force and general pressure. For the Cauchy problem of …
Uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force
A Suen - arXiv preprint arXiv:2012.07028, 2020 - arxiv.org
We prove uniqueness of weak solutions of the three-dimensional compressible Navier-
Stokes equations with potential force. We make use of the Lagrangean framework in …
Stokes equations with potential force. We make use of the Lagrangean framework in …
Global solutions of the equations of 3D compressible magnetohydrodynamics with zero resistivity
A Suen - arXiv preprint arXiv:1202.4081, 2012 - arxiv.org
We prove the global-in-time existence of H^ 2 solutions of the equations of compressible
magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data …
magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data …
Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains
A Suen - arXiv preprint arXiv:2011.11208, 2020 - arxiv.org
In this paper, we study the Navier-Stokes equations of compressible, barotropic flow posed
in a bounded set in $\mathbb {R}^ 3$ with different boundary conditions. Specifically, we …
in a bounded set in $\mathbb {R}^ 3$ with different boundary conditions. Specifically, we …