Computational Mathematics

Linearized Oskolkov system of non-zero order in the Avalos–Triggiani problem

T. G. Sukacheva, A. O. Kondiukov

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

Abstract: The Avalos–Triggiani problem for a linearized Oskolkov system of non-zero order and a system of wave equations is investigated. The mathematical model contains a linearized Oskolkov system and a wave vector equation corresponding to some structure immersed in the Kelvin–Voight incompressible viscoelastic fluid of non-zero order. Using the method proposed by the authors of this problem the theorem of the existence of the unique solution to the indicated Avalos–Triggiani problem is proved. The results of this article summarize the results obtained earlier.

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

UDC: 517.958

MSC: 35G61

Received: 07.12.2024

Language: English

DOI: 10.14529/jcem250104