Global weak solution to the viscous two-fluid model with finite energy
In this paper, we prove the existence of global weak solutions to the compressible two-fluid
Navier–Stokes equations in three dimensional space. The pressure depends on two …
Navier–Stokes equations in three dimensional space. The pressure depends on two …
Well-posedness for a multidimensional viscous liquid-gas two-phase flow model
The Cauchy problem of a multidimensional (d\geqslant2) compressible viscous liquid-gas
two-phase flow model is studied in this paper. We investigate the global existence and …
two-phase flow model is studied in this paper. We investigate the global existence and …
[HTML][HTML] Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids
Y Li, Y Sun - Journal of Differential Equations, 2019 - Elsevier
We consider a two-dimensional MHD model describing the evolution of viscous,
compressible and electrically conducting fluids under the action of vertical magnetic field …
compressible and electrically conducting fluids under the action of vertical magnetic field …
[HTML][HTML] Global existence and optimal convergence rates for the strong solutions in H2 to the 3D viscous liquid–gas two-phase flow model
Y Zhang, C Zhu - Journal of Differential Equations, 2015 - Elsevier
This paper is concerned with the Cauchy problem of the three-dimensional viscous liquid–
gas two-phase flow model. We prove the global existence of a strong solution when H 2 …
gas two-phase flow model. We prove the global existence of a strong solution when H 2 …
A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum
H Wen, L Yao, C Zhu - Journal de mathématiques pures et appliquées, 2012 - Elsevier
In this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase
flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution …
flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution …
On global solutions to the viscous liquid–gas model with unconstrained transition to single-phase flow
S Evje, H Wen, C Zhu - … Models and Methods in Applied Sciences, 2017 - World Scientific
In this paper, we consider the Dirichlet problem of a one-velocity viscous drift-flux model.
One of the phases is compressible, the other one is weakly compressible. Under weak …
One of the phases is compressible, the other one is weakly compressible. Under weak …
Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with vacuum
Z Guo, J Yang, L Yao - Journal of mathematical physics, 2011 - pubs.aip.org
Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with
vacuum | Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt …
vacuum | Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt …
On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions
H Wen - Calculus of Variations and Partial Differential …, 2021 - Springer
We consider the Dirichlet problem for a compressible two-fluid model in multi-dimensions. It
consists of the continuity equations for each fluid and the momentum equations for the …
consists of the continuity equations for each fluid and the momentum equations for the …
Review on mathematical analysis of some two-phase flow models
WEN Huanyao, YAO Lei, ZHU Changjiang - Acta Mathematica Scientia, 2018 - Elsevier
The two-phase flow models are commonly used in industrial applications, such as nuclear,
power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on …
power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on …
Global classical large solutions to Navier--Stokes equations for viscous compressible and heat-conducting fluids with vacuum
H Wen, C Zhu - SIAM Journal on Mathematical Analysis, 2013 - SIAM
We consider the one-dimensional Navier--Stokes equations for viscous compressible and
heat-conducting fluids (ie, the full Navier--Stokes equations). Because of the stronger …
heat-conducting fluids (ie, the full Navier--Stokes equations). Because of the stronger …