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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2260–2268
(Mi zvmmf9591)
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Solvability of the third and fourth basic three-dimensional dynamic problems in hemitropic elasticity
Yu. A. Bezhuashvili, R. V. Rukhadze Razmadze Institute of Mathematics, Academy of Sciences of Georgia, ul. M. Aleksidze 1, Tbilisi, 0193 Georgia
Abstract:
The third and fourth basic dynamic problems for a three-dimensional homogeneous isotropic centrally symmetric hemitropic micropolar medium are studied. Under fairly general assumptions, the classical solvability of the problems is proved using the Fourier method.
Key words:
dynamic problem, elasticity theory, rotation, displacement, hemitropic medium, Fourier method, solvability of elasticity problems.
Received: 12.10.2010 Revised: 12.03.2011
Citation:
Yu. A. Bezhuashvili, R. V. Rukhadze, “Solvability of the third and fourth basic three-dimensional dynamic problems in hemitropic elasticity”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2260–2268; Comput. Math. Math. Phys., 51:12 (2011), 2128–2136
Linking options:
https://www.mathnet.ru/eng/zvmmf9591 https://www.mathnet.ru/eng/zvmmf/v51/i12/p2260
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