On a Generalized Lam\'e-Navier system in $\mathbb{R}^3$
Mathematical Physics
2022-12-08 v1 math.MP
Abstract
This paper is devoted to a fundamental system of equations in Linear Elasticity Theory: the famous Lam\'e-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 Lam\'e-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.
Cite
@article{arxiv.2005.09570,
title = {On a Generalized Lam\'e-Navier system in $\mathbb{R}^3$},
author = {Daniel Alfonso Santiesteban and Ricardo Abreu Blaya and Martín Patricio Árciga Alejandre},
journal= {arXiv preprint arXiv:2005.09570},
year = {2022}
}
Comments
19 pages 0 figures