Title
Existence and Asymptotic Behavior of Global Weak Solutions to a 2D Viscous Liquid-Gas Two-Phase Flow Model
Abstract
In this paper, we consider the existence and asymptotic behavior of the global weak solutions to a two-dimensional (2D) viscous liquid-gas two-phase flow model. The analysis is based on several key a priori estimates, which are obtained by the ideas of studying the single-phase Navier-Stokes equations. This can be viewed to be a generalization of the results in [S. Evje and K. H. Karlsen, J. Differential Equations, 245 (2008), pp. 2660-2703] from one dimension to two dimensions.
Year
DOI
Venue
2010
10.1137/100785302
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
viscous liquid-gas two-phase flow model,weak solution,global existence,asymptotic behavior
Differential equation,Mathematical optimization,Viscous liquid,Mathematical analysis,Data flow model,A priori and a posteriori,Viscosity,Weak solution,Asymptotic analysis,Two-phase flow,Mathematics
Journal
Volume
Issue
ISSN
42
4
0036-1410
Citations 
PageRank 
References 
4
1.01
2
Authors
3
Name
Order
Citations
PageRank
Lei Yao163.82
Ting Zhang252.79
Changjiang Zhu3127.91