This paper is focused on the generalized Forchheimer flows of isentropic gas, described by a system of two nonlinear degenerating differential equations of first order. We prove the existence and uniqueness of the Dirichlet problem for stationary problem. The technique of semi-discretization in time is used to prove the existence for the time-dependent problem.

中文翻译：

---

等熵气体的广义 Forchheimer 流混合公式的解

本文重点介绍等熵气体的广义 Forchheimer 流动，该流动由两个非线性一阶退化微分方程系统描述。我们证明了对平稳问题的狄利克雷问题的存在性和唯一性。时间上的半离散化技术被用来证明时间相关问题的存在性。