论文标题
多层Hele-shaw流量流体动力稳定性的问题不足
An ill-posed problem in hydrodynamic stability of multi-layer Hele-Shaw flow
论文作者
论文摘要
Hele-Shaw模型是在多孔介质中取代两种不混溶的流体的有用近似值。我们考虑了几种不同恒定粘度的液体，这些液体插入了位移流体之间。该模型的线性稳定性分析使我们遇到了一个不适的问题。如果验证了界面上的某些兼容条件，则存在扰动的增长率（及时）。我们证明这些条件无法满足。
An useful approximation for the displacement of two immiscible fluids in a porous medium is the Hele-Shaw model. We consider several liquids with different constant viscosities, inserted between the displacing fluids. The linear stability analysis of this model leads us to an ill-posed problem. The growth rates (in time) of the perturbations exist iff some compatibility conditions on the interfaces are verified. We prove that these conditions cannot be fulfilled.
