The Avalos-Triggiani problem for the linear Oskolkov system and a system of wave equations. II. (English) Zbl 1513.35463

Sukacheva, Tamara G.; Sviridyuk, Georgy A.

J. Comput. Eng. Math. 9, No. 2, 67-72 (2022).

Summary: 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.

MSC:

35Q35	PDEs in connection with fluid mechanics
76A10	Viscoelastic fluids

Keywords:

Avalos-Triggiani problem; incompressible viscoelastic fluid; linear Oskolkov system