两相流模型出现在流体力学等应用学科中，在化学工程和石油工业等行业中有重要的应用。Drift-flux形式的两相流模型是其中重要的一种。关于该模型的数值分析已有很多，数学分析方面的研究近几年才开始，且主要集中在一些简化模型的研究。对整体解的研究一般需借助对初值的一些小性假设。本项目拟综合运用能量方法、弱收敛方法、Fourier变换以及谱分析等方法，研究Drift-flux形式的两相流模型解的整体适定性、大时间行为以及不可压极限等问题，特别是可具有一般初值情形以及高维情形。

Two-phase models, arising in fluid dynamics, have important applications in chemical engineering, petroleum industry and so on. The two-phase model in drift-flux formulation is an important one of them. There are a lot of literature on numerical analysis of the model. However, mathematical analysis of the model just began a few years ago. It mainly focuses on some simplified cases whose global well-posedness usually needs smallness of the initial data. In this proposal, we shall use energy methods, weak compactness arguments, .Fourier transform, spectral analysis and some other relevant technique to study the global well-posedness of the solutions of the two-phase model in drift-flux formulation as well as large-time behaviors and incompressible limits, especially for the cases of general initial data and high dimensions.