Geodesic
An analysis of the Avalos–Triggiani problem for the linear Oskolkov system of non-zero order and a system of wave equations
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 4, pp. 93-98 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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T. G. Sukacheva; A. O. Kondyukov. An analysis of the Avalos–Triggiani problem for the linear Oskolkov system of non-zero order and a system of wave equations. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 4, pp. 93-98. http://geodesic.mathdoc.fr/item/VYURU_2023_16_4_a6/

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