On a generalized Lamé-Navier system in ℝ<sup>3</sup>-Reference-Cited by-同舟云学术

On a generalized Lamé-Navier system in ℝ³

Published:2022-12-01 Issue:6 Volume:72 Page:1527-1540
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Santiesteban Daniel Alfonso¹,Blaya Ricardo Abreu¹,Alejandre Martín Patricio Árciga¹

Affiliation:

1. Facultad de Matemáticas , Universidad Autónoma de Guerrero , Av. Lázaro Cárdenas 88 39086 , Chilpancingo de los Bravos , Mexico

Abstract

Abstract This paper is devoted to a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra 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. Using MATLAB we also implement algorithms to compute with such partial differential operators as well as to verify some theoretical results obtained in the paper.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0104/pdf

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