Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-Equilibrium Flows
Author:
Affiliation:
1. Department of Mathematics , 3078 Michigan State University , East Lansing , , USA
2. Department of Mathematical Sciences , 12442 Tsinghua University , Beijing , China
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Physics and Astronomy,General Chemistry
Link
https://www.degruyter.com/document/doi/10.1515/jnet-2021-0008/pdf
Reference48 articles.
1. W. -A. Yong, Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics, Phil. Trans. R. Soc. A 378 (2020), no. 2170, 20190177.
2. S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics, Courier Corporation, 2013.
3. I. Müller and T. Ruggeri, Rational Extended Thermodynamics, 1998.
4. D. Jou, J. Casas-Vázquez and G. Lebon, Extended Irreversible Thermodynamics, in: Extended Irreversible Thermodynamics, Springer (1996), 41–74.
5. G. Lebon, D. Jou and J. Casas-Vázquez, Understanding Non-equilibrium Thermodynamics, volume 295, Springer, 2008.
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