Interaction of acoustic waves and piezoelectric structures

In the paper, we investigate the basic transmission problems arising in the model of fluid-solid acoustic interaction when a piezo-ceramic elastic body ( (+)) is embedded in an unbounded fluid domain ( (-)). The corresponding physical process is described by boundary-transmission problems for second order partial differential equations. In particular, in the bounded domain (+), we have 4x4 dimensional matrix strongly elliptic second order partial differential equation, while in the unbounded complement domain (-), we have a scalar Helmholtz equation describing acoustic wave propagation. The physical kinematic and dynamic relations mathematically are described by appropriate boundary and transmission conditions. With the help of the potential method and theory of pseudodifferential equations, the uniqueness and existence theorems are proved in Sobolev-Slobodetskii spaces. Copyright (c) 2014 John Wiley & Sons, Ltd.