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Título: | A geometric model for non-uniform processes of morphogenesis |
Autor: | V. M. Jiménez; M. de León | Palabras clave: | Constitutive equations Elastic materials Groupoids Material Geometry Morphogenesis Smooth distributions Mathematical Physics Mathematics - Differential Geometry Mathematics - Mathematical Physics 74A20, 53C12, 22A22 |
Fecha de publicación: | 13-ene-2023 | Resumen: | In this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the \textit{process of morphogenesis}. Our theory is inspired by Walter Noll's theories of continuous distributions and provides a unifying and very simple framework of these phenomena. We present the explicit equation, the \textit{morphogenesis equation}, to calculate the \textit{material distributions} associated to this phenomenon. | Descripción: | arXiv admin note: substantial text overlap with arXiv:2108.02865 | Versión del editor: | https://www.sciencedirect.com/science/article/pii/S0393044022002959#ac0010 | URI: | http://hdl.handle.net/10261/347035 | DOI: | 10.1016/j.geomphys.2022.104745 | ISSN: | 0393-0440 |
Aparece en las colecciones: | (ICMAT) Artículos |
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