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arXiv · 2005.09570

On a Generalized Lam\'e-Navier system in $\mathbb{R}^3$

Daniel Alfonso Santiesteban·Ricardo Abreu Blaya·Martín Patricio Árciga Alejandre
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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.

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Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Martín Patricio Árciga Alejandre. 2020-05-16. On a Generalized Lam\'e-Navier system in $\mathbb{R}^3$. https://doi.org/10.1515/ms-2022-0104

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