论文标题
随机多孔培养基中不混溶的两个相流的同质化
Homogenization of immiscible compressible two--phase flow in random porous media
论文作者
论文摘要
该论文涉及模型问题的均质化，该模型问题描述了随机统计均匀的多孔介质中不可压缩的两相流。我们得出有效的（宏观）问题，并证明了解决方案的收敛性。我们的方法依赖于随机的两尺度收敛技术，即使用随机二级收敛的实现概念。此外，我们利用各种先验估计以及单调性和紧凑性论证。
The paper deals with homogenization of a model problem describing an immiscible compressible two-phase flow in random statistically homogeneous porous media. We derive the effective (macroscopic) problem and prove the convergence of solutions. Our approach relies on stochastic two-scale convergence techniques, the realization-wise notion of stochastic two-scale convergence being used. Also, we exploit various a priori estimates as well as monotonicity and compactness arguments.
