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Martín Patricio Árciga Alejandre

Publications and source records attributed to Martín Patricio Árciga Alejandre.

3 recordsLinked to original sources
arXiv2020

On a Generalized Lamé-Navier system in $\mathbb{R}^3$

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.

math-ph↗
arXiv2020

On the plane Lamé-Navier system in fractal domains

This paper is devoted to study a fundamental system of equations in plane Linear Elasticity Theory, the two-dimensional Lamé-Navier system. We rewrite them in a compressed form in terms of the Cauchy-Riemann operators and it allows us to solve a kind of Riemann problem for this system. A generalized Teodorescu operator, to be introduced here, provides the means for obtaining the explicit solution of this problem for a very wide classes of regions, including those with a fractal boundary.

math.CV↗