The Brinkman-Fourier system with ideal gas equilibrium
The Brinkman-Fourier system with ideal gas equilibrium
复制标题
DOI：
10.3934/dcds.2021123
复制
发表时间：
2020-07
影响因子：
1.1
通讯作者：
Chun Liu;Jan-Eric Sulzbach
中科院分区：
文献类型：
--
作者：
Chun Liu;Jan-Eric Sulzbach
在这项工作中，我们将介绍一个通用的框架来推导流体力学系统的热力学，这保证了能量变分方法与热力学定律之间的一致性。特别是，我们将集中在热力和机械力之间的耦合。我们遵循一个经典的气体与理想气体平衡的框架，并提出了弱解的存在，这个热力学系统与Brinkman型方程的速度场。
In this work, we will introduce a general framework to derive the thermodynamics of a fluid mechanical system, which guarantees the consistence between the energetic variational approaches with the laws of thermodynamics. In particular, we will focus on the coupling between the thermal and mechanical forces. We follow the framework for a classical gas with ideal gas equilibrium and present the existences of weak solutions to this thermodynamic system coupled with the Brinkman-type equation to govern the velocity field.