论文标题
椭圆形 - 抛物线系统的部分规律性，在多孔介质中建模可混杂的流体流动
Partial regularity for an elliptic-parabolic system modeling miscible fluid flows in porous media
论文作者
论文摘要
在本文中，我们研究了椭圆形 - 撒布蛋白系统的弱解的存在和部分规律性，该系统在多孔介质中模拟了一种不可压缩的液体单相可混杂的位移。该系统是奇异的，涉及二次非线性。通过Fefferman-Stein不等式获得了部分规律性结果。
In this paper we study the existence and partial regularity of weak solutions to an elliptic-parabolic system that models the single-phase miscible displacement of one incompressible fluid by another in a porous media. The system is singular and involves quadratic nonlinearity. A partial regularity result is obtained via the Fefferman-Stein inequality.
