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November 2006 On the construction and investigation of hierarchic models for elastic rods
Mariam Avalishvili
Hiroshima Math. J. 36(3): 365-386 (November 2006). DOI: 10.32917/hmj/1171377079

Abstract

In the present paper static and dynamical one-dimensional models for elastic rods are constructed. The existence and uniqueness of solutions to the corresponding boundary and initial boundary value problems are proved, the rate of approximation of the solutions to the original three-dimensional problems by vector-functions restored from the solutions of one-dimensional problems is estimated.

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Mariam Avalishvili. "On the construction and investigation of hierarchic models for elastic rods." Hiroshima Math. J. 36 (3) 365 - 386, November 2006. https://doi.org/10.32917/hmj/1171377079

Information

Published: November 2006
First available in Project Euclid: 13 February 2007

zbMATH: 1378.74037
MathSciNet: MR2290663
Digital Object Identifier: 10.32917/hmj/1171377079

Subjects:
Primary: 42C10, 65M60, 74K10

Rights: Copyright © 2006 Hiroshima University, Mathematics Program

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Vol.36 • No. 3 • November 2006
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