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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 3, Pages 11–23
DOI: https://doi.org/10.17377/sibjim.2017.20.302 (Mi sjim964) 		 
Global solvability of the regularized problem of the volumetric growth of hyperelastic materials

A. V. Beskrovnykh

Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2017.20.302
Abstract: We present a model of volumetric growth of biological materials in the framework of finite elasticity. Surface effects on the boundary with the environment are taken into account. New mathematical results are obtained for the model, the main of which is a complete proof of global existence of a solution. The results can be used in further scientific developments at the juncture of biology and mechanics.
Keywords: volumetric growth, existence of global solutions.
Funding agency Grant number
Russian Science Foundation 15-11-20019
Received: 16.05.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 3, Pages 312–324
DOI: https://doi.org/10.1134/S1990478917030024
Bibliographic databases:
Document Type: Article
UDC: 517.95 539.3
Language: Russian
Citation: A. V. Beskrovnykh, “Global solvability of the regularized problem of the volumetric growth of hyperelastic materials”, Sib. Zh. Ind. Mat., 20:3 (2017), 11–23; J. Appl. Industr. Math., 11:3 (2017), 312–324
Citation in format AMSBIB
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\by A.~V.~Beskrovnykh
\paper Global solvability of the regularized problem of the volumetric growth of hyperelastic materials
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 3
\pages 11--23
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\crossref{https://doi.org/10.17377/sibjim.2017.20.302}
\elib{https://elibrary.ru/item.asp?id=29775040}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 3
\pages 312--324
\crossref{https://doi.org/10.1134/S1990478917030024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028571650}
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    		Сибирский журнал индустриальной математики
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