L. Giorgashvili, G. Karseladze, G. Sadunishvili, and Sh. Zazashvili

The Boundary Value Problems of Stationary Oscillations in the Theory of Two-Temperature Elastic Mixtures

We derive Green's formulas for the system of differential equations of stationary oscillations in the theory of elastic mixtures, which enable us to prove the uniqueness theorems for solutions of the boundary value problems. The jump formulas for single and double-layer potentials are derived. Using the theories of potentials and integral equations the existence of solutions is proved.

Mathematics Subject Classification: 74A15, 75F20, 74H25, 74B10

Key words and phrases: Composite body, theory of mixtures, fundamental matrix, metaharmonic function