Boundary value problems for the lamé-navier system in fractal domains

Abstract:

The aim of this paper is to establish a representation formula for the solutions of the Lamé-Navier system in linear elasticity theory. We also study boundary value problems for such a system in a bounded domain Ω ⊂ R3, allowing a very general geometric behavior of its boundary. Our method exploits the connections between this system and some classes of second order partial differential equations arising in Clifford analysis.

Año de publicación:

2021

Keywords:

• Lamé-Navier system
• Linear elasticity
• Clifford analysis
• fractal boundaries

Fuente:

scopus