THE AVALOS -- TRIGGIANI PROBLEM FOR THE LINEAR OSKOLKOV SYSTEM AND A SYSTEM OF WAVE EQUAIONS. II

Abstract

The Avalos -- Triggiani problem for a system of wave equations and the linear Oskolkov system is investigated. The method proposed by G. Avalos and R. Triggiani is used to prove a theorem on the existence of a unique solution to the Avalos -- Triggiani problem. The underlying mathematical model involves the linear Oskolkov system describing the flow of an incompressible viscoelastic Kelvin -- Voigt fluid of zero order and a vector wave equation describing a structure immersed in the fluid.