Buscando estructuras en las soluciones de un sistema generalizado de Lamé-Navier.

Abstract

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.