EXISTENCE AND ASYMPTOTIC BEHAVIOR OF GLOBAL WEAK SOLUTIONS TO A 2D VISCOUS LIQUID-GAS TWO-PHASE FLOW MODEL

摘要

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.