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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 1, Pages 77–85 (Mi sjim712)  
This article is cited in 2 scientific papers (total in 2 papers)

A mathematical model of the motion of shear shock waves of nonzero curvature based on their evolution equation

V. E. Ragozina, Yu. E. Ivanova

Institute of Automatics and Control Systems FEB RAS, Vladivostok, RUSSIA
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Abstract: We study particular features of the appearance and motion of 1-dimensional shear shock waves of nonzero curvature basing on the corresponding evolution equation. Using numerous examples of boundary value problems for axisymmetric antiplane deformation, we demonstrate the efficiency of applying solutions to the evolution equation as the frontal asymptotics in the method of matched asymptotic expansions.
Keywords: nonlinear elasticity, incompressibility, shock wave, perturbation method, evolution equation.
Received: 17.05.2011
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. E. Ragozina, Yu. E. Ivanova, “A mathematical model of the motion of shear shock waves of nonzero curvature based on their evolution equation”, Sib. Zh. Ind. Mat., 15:1 (2012), 77–85
Citation in format AMSBIB
\Bibitem{RagIva12}
\by V.~E.~Ragozina, Yu.~E.~Ivanova
\paper A mathematical model of the motion of shear shock waves of nonzero curvature based on their evolution equation
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 1
\pages 77--85
\mathnet{http://mi.mathnet.ru/sjim712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112335}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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