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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2012, Volume 12, Issue 3, Pages 96–104 (Mi isu320)  

Computer science

Mathematical and omputer modeling of nonlinear waves dynamics in a coaxial physically nonlinear shells with viscous incompressible fluid between them

A. Yu. Blinkovaa, A. D. Kovalevb, I. A. Kovalevaa, L. I. Mogilevichc

a Saratov State University, Chair of Computer Algebra and Number Theory
b Saratov State University, Chair of Mathematical and Computer Modeling
c Moscow State University of Railway Transport (Volga Branch), Saratov, Chair of Higher and Applied Mathematics

Abstract: 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.

Key words: cylinder shell, non-linear deformation waves, hydroelasticity, viscous incompressible liquid, solitary wave, Gröbner basis.

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UDC: 681.03.06+531.383+532.516

Citation: A. Yu. Blinkova, A. D. Kovalev, I. A. Kovaleva, L. I. Mogilevich, “Mathematical and omputer modeling of nonlinear waves dynamics in a coaxial physically nonlinear shells with viscous incompressible fluid between them”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:3 (2012), 96–104

Citation in format AMSBIB
\Bibitem{BliKovKov12}
\by A.~Yu.~Blinkova, A.~D.~Kovalev, I.~A.~Kovaleva, L.~I.~Mogilevich
\paper Mathematical and omputer modeling of nonlinear waves dynamics in a~coaxial physically nonlinear shells with viscous incompressible fluid between them
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 3
\pages 96--104
\mathnet{http://mi.mathnet.ru/isu320}


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