This article is cited in 1 paper

Computational Mathematics

The linearized Oskolkov system in the Avalos–Triggiani problem

T. G. Sukacheva, A. O. Kondiukov

Novgorod State University, Velikiy Novgorod, Russian Federation

Abstract: The Avalos–Triggiani problem for a linearized Oskolkov system 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. The theorem of the existence of the unique solution to the Avalos–Triggiani problem for the indicated systems is proved using the method proposed by the authors of this problem.

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

UDC: 517.958

MSC: 35G61

Received: 07.02.2024

Language: English

DOI: 10.14529/jcem240103