The Linearized Oskolkov System of the Highest Order in the Avalos-Triggiani Problem

The Avalos-Triggiani problem for a system of wave equations and a linearized Oskolkov system of the highest order is investigated. The mathematical model contains a linearized Oskolkov system describing the flow of an incompressible viscoelastic Kelvin-Voight fluid of the highest order, and a wave vector equation corresponding to some structure immersed in the specified fluid. Based on the method proposed by the authors of this problem, the theorem of the existence of the unique solution to the Avalos-Triggiani problem for the indicated systems is proved.

Keywords

Avalos-Triggiani problem; incompressible viscoelastic fluid; linearized Oskolkov systems.

References

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