This article is cited in 3 papers

Short Notes

An analysis of the Avalos–Triggiani problem for the linear Oskolkov system of non-zero order and a system of wave equations

T. G. Sukacheva, A. O. Kondyukov

Yaroslav-the-Wise Novgorod State University, Velikiy Novgorod, Russian Federation

Abstract: The Avalos–Triggiani problem for a system of wave equations and a linear Oskolkov system of non-zero order is investigated. The mathematical model contains a linear Oskolkov system describing the flow of an incompressible viscoelastic Kelvin–Voigt fluid of non-zero order, and a wave vector equation corresponding to some structure immersed in the fluid. Based on the method proposed by the authors of this problem, the existence of a unique solution to the Avalos–Triggiani problem for the indicated systems is proved.

Keywords: Avalos–Triggiani problem, incompressible viscoelastic fluid, linear Oskolkov system.

UDC: 517.9

MSC: 35A01

Received: 28.09.2023

Language: English

DOI: 10.14529/mmp230407