This paper is concerned with the 3D isentropic compressible Euler equations with damping in periodic domain. Inspired by the theory of Markov semigroups, we show the existence of solution semiflow which satisfies the standard semigroup property and minimizes the energy (maximizes the energy dissipation) among all dissipative solutions.

中文翻译：

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带阻尼的可压缩欧拉方程的解半流

本文涉及具有周期域阻尼的3D等熵可压缩Euler方程。在马尔可夫半群理论的启发下，我们证明了存在所有满足耗散解的溶液半流满足标准半群性质，并且使能量最小化（最大化能量耗散）。