INTERACTION OF ELASTIC AND SCALAR FIELDS

The three-dimensional mathematical problems of the interaction of an e lastic and some scalar fields are investigated. It is assumed that the elastic structure under consideration is a bounded homogeneous anisot ropic body occupying domain <(Ohm)over bar>(+) subset of R(3) and the physical scalar field is defined in the exterior domain Ohm(-) = R(3)\ Ohm(+). These two fields satisfy the governing equations in the corres ponding domains together with the transmission conditions on the inter face partial derivative Omega(+). The problems are studied by the pote ntial method and the existence and uniqueness theorems are proved.