We show that solutions of the complete Euler system of gas dynamics perturbed by a friction term converge to a solution of the porous medium equation in the high friction/long time limit. The result holds in the largest possible class of generalized solutions–the measure–valued solutions of the Euler system.

中文翻译：

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关于完整欧拉系统的高摩擦极限

我们证明了受摩擦项扰动的完整气体动力学欧拉系统的解在高摩擦/长时间限制下收敛于多孔介质方程的解。结果适用于最大可能类别的广义解——欧拉系统的测值解。