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Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes
The main purpose of this review is to summarize the recent advances of the Conservation–Dissipation Formalism (CDF), a new way for constructing both thermodynamically compatible and mathematically stable and well-posed models for irreversible processes. The contents include but are not restricted to...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8620699/ https://www.ncbi.nlm.nih.gov/pubmed/34828145 http://dx.doi.org/10.3390/e23111447 |
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author | Peng, Liangrong Hong, Liu |
author_facet | Peng, Liangrong Hong, Liu |
author_sort | Peng, Liangrong |
collection | PubMed |
description | The main purpose of this review is to summarize the recent advances of the Conservation–Dissipation Formalism (CDF), a new way for constructing both thermodynamically compatible and mathematically stable and well-posed models for irreversible processes. The contents include but are not restricted to the CDF’s physical motivations, mathematical foundations, formulations of several classical models in mathematical physics from master equations and Fokker–Planck equations to Boltzmann equations and quasi-linear Maxwell equations, as well as novel applications in the fields of non-Fourier heat conduction, non-Newtonian viscoelastic fluids, wave propagation/transportation in geophysics and neural science, soft matter physics, etc. Connections with other popular theories in the field of non-equilibrium thermodynamics are examined too. |
format | Online Article Text |
id | pubmed-8620699 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-86206992021-11-27 Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes Peng, Liangrong Hong, Liu Entropy (Basel) Review The main purpose of this review is to summarize the recent advances of the Conservation–Dissipation Formalism (CDF), a new way for constructing both thermodynamically compatible and mathematically stable and well-posed models for irreversible processes. The contents include but are not restricted to the CDF’s physical motivations, mathematical foundations, formulations of several classical models in mathematical physics from master equations and Fokker–Planck equations to Boltzmann equations and quasi-linear Maxwell equations, as well as novel applications in the fields of non-Fourier heat conduction, non-Newtonian viscoelastic fluids, wave propagation/transportation in geophysics and neural science, soft matter physics, etc. Connections with other popular theories in the field of non-equilibrium thermodynamics are examined too. MDPI 2021-10-31 /pmc/articles/PMC8620699/ /pubmed/34828145 http://dx.doi.org/10.3390/e23111447 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Review Peng, Liangrong Hong, Liu Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title | Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title_full | Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title_fullStr | Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title_full_unstemmed | Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title_short | Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes |
title_sort | recent advances in conservation–dissipation formalism for irreversible processes |
topic | Review |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8620699/ https://www.ncbi.nlm.nih.gov/pubmed/34828145 http://dx.doi.org/10.3390/e23111447 |
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