Recent Advances in Conservation–Dissipation Formalism for Irreversible Processes
Abstract
The main purpose of this review is to summarize the recent advances of the ConservationDissipation Formalism (CDF), a new way for constructing both thermodynamically compatible and mathematically stable and wellposed 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 FokkerPlanck equations to Boltzmann equations and quasilinear Maxwell equations, as well as novel applications in the fields of nonFourier heat conduction, nonNewtonian viscoelastic fluids, wave propagation/transportation in geophysics and neural science, soft matter physics, \textit{etc.} Connections with other popular theories in the field of nonequilibrium thermodynamics are examined too.
 Publication:

Entropy
 Pub Date:
 October 2021
 DOI:
 10.3390/e23111447
 arXiv:
 arXiv:2109.07063
 Bibcode:
 2021Entrp..23.1447P
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Physics  Fluid Dynamics
 EPrint:
 38 pages, 2 figures