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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 484–501
DOI: https://doi.org/10.33048/semi.2022.19.041 (Mi semr1516) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

Asymptotics of solutions for two elastic plates with thin junction

A. M. Khludnevab

a Lavrentyev Institute of Hydrodynamics of SB RAS, 15, Lavrentieva ave., 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.041
Abstract: The paper concerns an equilibrium problem for two elastic plates connected by a thin junction (bridge) in a case of Neumann boundary conditions, which provide a non-coercivity for the problem. An existence of solutions is proved. Passages to limits are justified with respect to the rigidity parameter of the junction. In particular, the rigidity parameter tends to infinity and to zero. Limit models are investigated.
Keywords: Thin junction, elastic plate, rigidity parameter, non-coercive boundary value problem, thin inclusion.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
This work was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received June 9, 2022, published August 22, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.958, 539.3
MSC: 35J58, 35Q74
Language: English
Citation: A. M. Khludnev, “Asymptotics of solutions for two elastic plates with thin junction”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 484–501
Citation in format AMSBIB
\Bibitem{Khl22}
\by A.~M.~Khludnev
\paper Asymptotics of solutions for two elastic plates with thin junction
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 484--501
\mathnet{http://mi.mathnet.ru/semr1516}
\crossref{https://doi.org/10.33048/semi.2022.19.041}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4478142}
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    • This publication is cited in the following 1 articles:
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