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arXiv · 2005.07827

On the plane Lam\'e-Navier system in fractal domains

Diego Esteban Gutierrez Valencia·Ricardo Abreu Blaya·Martín Patricio Árciga Alejandre·Arsenio Moreno García
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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.

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Diego Esteban Gutierrez Valencia, Ricardo Abreu Blaya, Martín Patricio Árciga Alejandre, Arsenio Moreno García. 2020-05-15. On the plane Lam\'e-Navier system in fractal domains. https://arxiv.org/abs/2005.07827

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