Positivity of temperature for some non-isothermal fluid models
Document Type
Article
Publication Date
12-5-2022
Abstract
We establish three partial differential equation models describing the thermodynamic behavior of a fluid by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamic laws. By using an explicit algebraic approach, we show a maximum/minimum principle for some auxiliary variables involving the absolute temperature θ and density ρ under some special conditions, which then yields the positivity of the temperature. This important fact implies the thermodynamic consistency for our models.
Publication Source (Journal or Book title)
Journal of Differential Equations
First Page
555
Last Page
578
Recommended Citation
Lai, N., Liu, C., & Tarfulea, A. (2022). Positivity of temperature for some non-isothermal fluid models. Journal of Differential Equations, 339, 555-578. https://doi.org/10.1016/j.jde.2022.08.025