# 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. KondyukovThe 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.Full text

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