Abstract

The Galilean invariant thermodynamically compatible conservation laws that admit a class of generalized solutions is analyzed. The main feature of the generalized solutions considered in this paper is that they describe smooth solutions with the kinetic energy and total pressure loss, which accompany the dynamic process of heat supply. The principal properties of the generalized solutions analyzed in Godunov’s works are the Galilean invariance and thermodynamic compatibilty of the original conservation laws under the closed mathematical formulation of the thermal gas-dynamic process.

中文翻译：

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利用Godunov的思想构造的伽利略不变热力学相容守恒律的广义解

摘要

分析了承认一类广义解的伽利略不变热力学相容守恒律。本文考虑的广义解的主要特征是，它们描述了具有动能和总压力损失的光滑解，这些解伴随着供热的动态过程。在戈杜诺夫著作中分析的广义解的主要性质是热气体动力学过程的封闭数学公式下原始守恒律的伽利略不变性和热力学兼容性。