El problema de Riemann para el sistema de Lamé-Navier bidimensional.

Abstract

This paper is devoted to the study of a system of equations of the Theory of Linear Elasticity: the Lamé-Navier system. By means of Complex Analysis, this system is rewritten in terms of the Cauchy-Riemann operator and its complex conjugate. With this rewritten, a new factorization of the system is obtained, which allows finding explicit solutions. Subsequently, the Riemann problem associated to this elastic system is solved. Teodorescu-type integral operators were defined that allow the generalization of the results for domains with fractal boundary