Buscando estructuras en las soluciones de un sistema generalizado de lamé-navier

Daniel Alfonso Santiesteban; Ricardo  Abreu Blaya; Martín Patricio  Árciga Alejandre

doi:10.22490/25394088.5972

Vol. 17 No. 1 (2023)

Published 2023-01-18

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Original article

Looking for structures in the solutions of a generalized lamé-navier system

DOI: https://doi.org/10.22490/25394088.5972

Daniel Alfonso Santiesteban Universidad Autónoma de Guerrero

Ricardo Abreu Blaya Universidad Autónoma de Guerrero, México

Martín Patricio Árciga Alejandre Universidad Autónoma de Guerrero, México

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Abstract
References

This research is devoted to a fundamental system of equations in Linear Elasticity Theory: the Lamé-Navier system. The Clifford algebras language allows us to rewrite this system in terms of the Euclidean Dirac operator, which at the same time suggests a very natural generalization involving the so-called structural sets. We are interested in finding some structures in the solutions of these generalized Lamé-Navier systems. The flexibility involved in the consideration of arbitrary structural sets suggests that this system leads to a wide range of systems of partial differential equations that could be of mathematical interest as well as in the context of Physics.

keywords: Lamé-Navier system, Dirac operator, structural sets

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Alfonso Santiesteban, D., Abreu Blaya, R. ., & Árciga Alejandre, M. P. . (2023). Looking for structures in the solutions of a generalized lamé-navier system . Publicaciones E Investigación, 17(1). https://doi.org/10.22490/25394088.5972

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