当前位置: X-MOL 学术Complex Anal. Oper. Theory › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the Plane Lamé–Navier System in Fractal Domains
Complex Analysis and Operator Theory ( IF 0.7 ) Pub Date : 2021-03-08 , DOI: 10.1007/s11785-021-01088-5
Diego Esteban Gutierrez Valencia , Ricardo Abreu Blaya , Martín Patricio Árciga Alejandre , Arsenio Moreno García

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.



中文翻译:

分形域上的平面Lamé-Navier系统

本文致力于研究平面线性弹性理论中的基本方程组,即二维Lamé-Navier系统。我们根据考奇-黎曼算子以压缩形式重写它们,这使我们可以解决此系统的黎曼问题。将在此处介绍的广义Teodorescu算子提供了一种方法,可用于针对非常广泛的区域类别(包括具有分形边界的区域)获得该问题的显式解决方案。

更新日期:2021-03-08
down
wechat
bug