Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 29
Potential Method in the Coupled Theory of Viscoelastic Triple-Porosity Materials
Maia Svanadze
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 10, 2021
March 03, 2044
April 15, 2044

Abstract: In this talk, the linear coupled theory of viscoelasticity for triple-porosity materials is considered and the non-classical internal and external boundary value problems (BVPs) of steady vibrations are investigated. Namely, the fundamental solution of the system of steady vibration equations of the considered theory is constructed. The uniqueness theorems for the solutions of the BVPs of steady vibrations are proved. The surface and volume potentials are constructed and their basic properties are established. The BVPs are reduced to the always solvable singular integral equations. The ...