Boundary value problems for the Lamé-Navier system in fractal domains

Autor: Ricardo Abreu Blaya, J. A. Mendez-Bermudez, Arsenio Moreno García, José M. Sigarreta
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 10, Pp 10449-10465 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021606?viewType=HTML
Popis: 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 $ \Omega\subset {\mathbb R}^3 $, 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.
Databáze: Directory of Open Access Journals