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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Autores principales:	Liangrong Peng, Liu Hong
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	conservation–dissipation formalism non-equilibrium thermodynamics hyperbolic PDEs viscoelastic fluids soft matter physics Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/f78f606bc70d46978ac908a3b71b11f3
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spelling	oai:doaj.org-article:f78f606bc70d46978ac908a3b71b11f32021-11-25T17:29:44ZRecent Advances in Conservation–Dissipation Formalism for Irreversible Processes10.3390/e231114471099-4300https://doaj.org/article/f78f606bc70d46978ac908a3b71b11f32021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1447https://doaj.org/toc/1099-4300The 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.Liangrong PengLiu HongMDPI AGarticleconservation–dissipation formalismnon-equilibrium thermodynamicshyperbolic PDEsviscoelastic fluidssoft matter physicsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1447, p 1447 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	conservation–dissipation formalism non-equilibrium thermodynamics hyperbolic PDEs viscoelastic fluids soft matter physics Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	conservation–dissipation formalism non-equilibrium thermodynamics hyperbolic PDEs viscoelastic fluids soft matter physics Science Q Astrophysics QB460-466 Physics QC1-999 Liangrong Peng Liu Hong Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes
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	article
author	Liangrong Peng Liu Hong
author_facet	Liangrong Peng Liu Hong
author_sort	Liangrong Peng
title	Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes
title_short	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_sort	recent advances in conservation–dissipation formalism for irreversible processes
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/f78f606bc70d46978ac908a3b71b11f3
work_keys_str_mv	AT liangrongpeng recentadvancesinconservationdissipationformalismforirreversibleprocesses AT liuhong recentadvancesinconservationdissipationformalismforirreversibleprocesses
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Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes

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