论文标题
带有理想气体平衡的Brinkman-Foury系统
The Brinkman-Fourier System with Ideal Gas Equilibrium
论文作者
论文摘要
在这项工作中，我们将引入一个通用框架，以得出流体机械系统的热力学，这可以确保能量变异方法与热力学定律之间的一致性。特别是，我们将重点关注热力和机械力之间的耦合。我们遵循具有理想气体平衡的经典气体的框架，并介绍了该热力学系统的弱解决方案的存在，并呈现出Brinkman型方程式以控制速度场。
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.
