The evolution equation: An application of groupoids to material evolution | Zendy

Víctor Manuel Jiménez | Zendy; Manuel de León | Zendy

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The evolution equation: An application of groupoids to material evolution

Author(s) -

Víctor Manuel Jiménez,

Manuel de León

Publication year - 2022

Publication title -

the journal of geometric mechanics

Language(s) - English

Resource type - Journals

eISSN - 1941-4897

pISSN - 1941-4889

DOI - 10.3934/jgm.2022001

Subject(s) - evolution equation , construct (python library) , point (geometry) , encoding (memory) , time evolution , computer science , mathematics , mathematical analysis , geometry , physics , artificial intelligence , programming language , quantum mechanics

The aim of this paper is to study the evolution of a material point of a body by itself, and not the body as a whole. To do this, we construct a groupoid encoding all the intrinsic properties of the material point and its characteristic foliations, which permits us to define the evolution equation. We also discuss phenomena like remodeling and aging.

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