Representation of Solutions of Lamé–Navier System

Abstract

In this paper we introduce a new reformulation of the Lamé–Navier system in R3 by using a generalized Cauchy–Riemann operator. With this new reformulation, we can represent solutions of the Lamé–Navier system by solutions of the generalized Cauchy–Riemann operator. In application, a Taylor series expansion of the solutions is constructed.