Mathematical and сomputer modeling of nonlinear waves dynamics in a~coaxial physically nonlinear shells with viscous incompressible fluid between them
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 96-104

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This study focuses on the analysis of nonlinear wave propagation deformations in the elastic physically nonlinear coaxial cylindrical shells containing a viscous incompressible fluid between them. Wave processes in an elastic cylindrical shell without interacting with fluid were previously studied from the standpoint of the theory of solitons. The presence of fluid required developing a new mathematical model and computer modeling of processes occurring in the system.
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     title = {Mathematical and {\cyrs}omputer modeling of nonlinear waves dynamics in a~coaxial physically nonlinear shells with viscous incompressible fluid between them},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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A. Yu. Blinkova; A. D. Kovalev; I. A. Kovaleva; L. I. Mogilevich. Mathematical and сomputer modeling of nonlinear waves dynamics in a~coaxial physically nonlinear shells with viscous incompressible fluid between them. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 96-104. http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a14/