On the plane Lam\'e-Navier system in fractal domains
Complex Variables
2020-05-19 v1
Abstract
This paper is devoted to study a fundamental system of equations in plane Linear Elasticity Theory, the two-dimensional Lam\'e-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.
Keywords
Cite
@article{arxiv.2005.07827,
title = {On the plane Lam\'e-Navier system in fractal domains},
author = {Diego Esteban Gutierrez Valencia and Ricardo Abreu Blaya and Martín Patricio Árciga Alejandre and Arsenio Moreno García},
journal= {arXiv preprint arXiv:2005.07827},
year = {2020}
}
Comments
16 pages, no figures