Representations of Solutions of Lamé System with Real Coefficients via Monogenic Functions

Explore a 21-minute conference talk from the HyperComplex Seminar 2023, Session A1 on Hypercomplex structures. Delve into Serhii Gryshchuk's presentation on representing solutions of the Lamé system with real coefficients using monogenic functions in the biharmonic algebra. Examine the Lamé-type system and its regular solutions, focusing on the case of isotropic plane theory of elasticity. Discover how a two-dimensional biharmonic algebra B over complex numbers can be used to rewrite general solutions of the Lamé system using B-valued "analytic" functions and low-order polynomials. Gain insights into advanced mathematical concepts and their applications in elasticity theory.