Journal of Mathematical Sciences

, Volume 77, Issue 3, pp 3153–3160 | Cite as

Three problems in the mechanics of continua in polyhedra

  • M. Sh. Birman


The following problems are considered: the problem of the electromagnetic oscillations of a hollow resonator with an ideally conductive boundary; the steady-state Stokes equations under conditions of slippery walls; the problem of elasticity theory under the boundary condition of a rigid contact. Formally, in polyhedral domains these three problems coincide. It is shown that in a meaningful sense such a coincidence is realized only in convex polyhedra. Related effects are discussed. Bibliography: 10 titles.


Boundary Condition Related Effect Elasticity Theory Convex Polyhedron Conductive Boundary 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • M. Sh. Birman

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