Hyper-elastic Ricci flow

Slemrod, M.

doi:10.1090/qam/1560

Author: M. Slemrod
Journal: Quart. Appl. Math. 78 (2020), 513-523
MSC (2010): Primary 53C44, 58J90, 74H40, 76N99
DOI: https://doi.org/10.1090/qam/1560
Published electronically: November 6, 2019
MathSciNet review: 4100291
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Abstract: 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.

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