LINEARIZED OSKOLKOV SYSTEM OF NON-ZERO ORDER IN THE AVALOS-TRIGGIANI PROBLEM

T. G. Sukacheva, A. O. Kondyukov

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

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References


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