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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 12, Pages 2260–2268 (Mi zvmmf9591)

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.

UDC: 519.634

Received: 12.10.2010
Revised: 12.03.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:12, 2128–2136

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