Open AccessHyper-elastic Ricci flow
Author(s) -
Marshall Slemrod
Publication year - 2019
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1560
Subject(s) - ricci flow , mathematics , uniformization (probability theory) , ricci curvature , flow (mathematics) , mathematical analysis , geometry , curvature , statistics , balance equation , markov model , markov chain
This paper introduces the concept of hyper-elastic Ricci flow. The equation of hyper-elastic Ricci flow amends classical Ricci flow by the addition of the Cauchy stress tensor which itself is derived from the free energy. The main implication of the theory is a uniformization of material behavior which follows from application of a parabolic minimum principle.