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On the compressible Navier-Stokes equations in the whole space: From non-isentropic flow to isentropic flow
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2021-01-21 , DOI: 10.3934/dcds.2021005 Ling-Bing He , , Li Xu ,
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2021-01-21 , DOI: 10.3934/dcds.2021005 Ling-Bing He , , Li Xu ,
The present work aims at the mathematical derivation of the equations for the isentropic flow from those for the non-isentropic flow for perfect gases in the whole space. Suppose that the following things hold for the entropy equation: (1). both conduction of heat and its generation by dissipation of mechanical energy are sufficiently weak(with the order of
中文翻译：
关于整个空间中的可压缩Navier-Stokes方程：从非等熵流到等熵流
目前的工作旨在从全空间内理想气体的非等熵流方程的数学推导中得出等熵流的方程。假设熵方程满足以下条件：（1）。热量的传导及其通过机械能的耗散而产生的热量都足够弱（数量级为
更新日期：2021-03-30
| $ \varepsilon $ |
中文翻译：
关于整个空间中的可压缩Navier-Stokes方程：从非等熵流到等熵流
目前的工作旨在从全空间内理想气体的非等熵流方程的数学推导中得出等熵流的方程。假设熵方程满足以下条件：（1）。热量的传导及其通过机械能的耗散而产生的热量都足够弱（数量级为
| $ \ varepsilon $ |
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