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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...

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Detalles Bibliográficos
Autores principales: Peng, Liangrong, Hong, Liu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
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.
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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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