Open AccessThe Brinkman-Fourier system with ideal gas equilibrium
Author(s) -
Chun Li,
Jan-Eric Sulzbach
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2021123
Subject(s) - ideal gas , work (physics) , ideal (ethics) , thermal equilibrium , thermodynamics , focus (optics) , extended irreversible thermodynamics , physics , coupling (piping) , equilibrium thermodynamics , classical mechanics , statistical physics , mathematics , thermodynamic equilibrium , non equilibrium thermodynamics , materials science , law , optics , political science , metallurgy
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.