Mikhailov

Mikhailov AS 994 Foundations of Synergetics i. Distributed Active Sysfems (Berlin Springer)... 

In two-dimensional solids theory, the size of the solid in a fixed direction is assumed to be small as compared to the other ones. Therefore, all characteristics of the thin solid are referred to a so-called mid-surface, and one obtains the two-dimensional model. Let us give the construction of plate and shell models (Donnell, 1976 Vol mir, 1972 Lukasiewicz, 1979 Mikhailov, 1980). 

Let X G 2 be an arbitrary fixed element. Using the Galerkin method (see, for instance, Mikhailov, 1976), we can prove that there is a unique function 9 G Si satisfying the identity... 

Here t plays the role of a parameter. Thus, we can use the results on smoothness up to the boundary for solutions to elliptic equations of the form (3.139) (see Mikhailov, 1976). This yields (3.138). 

Mikhailov B.K. (1980) Plates and shells with break parameters. Leningrad (in Russian). 

Mikhailov V.P. (1976) Partial differential equations. Nauka, Moscow (in Russian). 

B. M. Mikhailov and Yu. N. Bubnov, Organoboron Compounds in Organic Synthesis, Harwood Academic PubHshers, London, 1984. 

Liiikov, A. V. and Mikhailov, Yu. A., Theory of Energy and Mass Transfer. Revised English ed. Pergamon Press, New York, 1965. 

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