Premium
CFL condition, Boltzmann's H‐theorem, Onsager reciprocal relations and beyond
Author(s) -
Yong WenAn
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2848
Subject(s) - mathematics , reciprocal , boltzmann constant , boltzmann equation , partial differential equation , non equilibrium thermodynamics , order (exchange) , stability (learning theory) , h theorem , first order partial differential equation , mathematical physics , statistical physics , mathematical analysis , physics , thermodynamics , philosophy , linguistics , principle of maximum entropy , statistics , finance , machine learning , binary entropy function , computer science , maximum entropy thermodynamics , economics
In this article, we show that the classical CFL condition from numerical analysis, Boltzmann's H‐theorem from kinetic theory and Onsager reciprocal relations from nonequilibrium thermodynamics are all related to some structural stability conditions for nonhomogeneous systems of first‐order partial differential equations. By doing this, we briefly review our previous works on first‐order partial differential equations. Copyright © 2013 John Wiley & Sons, Ltd.