Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 57–61 (Mi vmumm156)  
This article is cited in 1 scientific paper (total in 1 paper)

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Uniqueness of weak solutions to dynamical problems in the elasticity theory with boundary conditions of Winkler and inertial types

M. Sh. Israilov, S. E. Nosov

Chechen State University, Research Institute of Mathematical Physics and Seismodynamics
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Abstract: A uniqueness theorem for the weak solution of an initial-boundary value problem in the anisotropic elasticity theory with the boundary conditions that “don't keep” energy, namely, with the impedance and inertial type conditions is proved. The chosen method of proof does not require the positive definiteness of the elastic constant tensor (the case which may arise when solving the problems by the averaging method for composite materials), but it requires to take the energy variation law as a postulate.
Key words: anisotropic elasticity, dynamic problems, weak solutions, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 15-08-02425
Received: 23.01.2015
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 3, Pages 65–68
DOI: https://doi.org/10.3103/S0027133016030031
Bibliographic databases:
Document Type: Article
UDC: 539.3:534.1
Language: Russian
Citation: M. Sh. Israilov, S. E. Nosov, “Uniqueness of weak solutions to dynamical problems in the elasticity theory with boundary conditions of Winkler and inertial types”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 57–61; Moscow University Mechanics Bulletin, 71:3 (2016), 65–68
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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