INTERACTION BETWEEN THERMOELASTIC AND SCALAR OSCILLATION FIELDS

Three-dimensional mathematical problems of the interaction between the rmoelastic and scalar oscillation fields in a general physically aniso tropic case are studied by the boundary integral equation methods. Uni queness and existence theorems are proved by the reduction of the orig inal interface problems to equivalent systems of boundary pseudodiffer ential equations. In the non-resonance case the invertibility of the c orresponding matrix pseudodifferential operators in appropriate functi onal spaces is shown on the basis of the generalized Sommerfeld-Kuprad ze type thermoradiation conditions for anisotropic bodies. In the reso nance case the co-kernels of the pseudodifferential operators are anal ysed and the efficient conditions of solvability of the original inter face problems are established.