The brinkman-fourier system with ideal gas equilibrium

Chun Liu, Jan Eric Sulzbach

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)425-462
Number of pages38
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number1
StatePublished - Jan 2022

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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