Stationary problems of the theory of elasticity with a small viscosity

Yu. A. Bogan

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: Some singularly perturbed boundary value problems in the theory of elasticity, arising in averaging of laminated media with nonstandard contact conditions on the interface boundary, have been studied. The studied problems have been formulated in the variational set-ups, and theorems on convergence to solutions of the limiting ones have been proved.

UDC: 539.3

Received: 11.03.1998
Revised: 17.07.1998

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