Analysis of a Limiting-Amplitude Problem in Acousto-Elastic Interactions, 1
NAVAL RESEARCH LAB WASHINGTON DC
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Time-harmonic scattering and radiation by an elastic body into an inviscid fluid is studied as a problem of limiting amplitude. By supposing that one knows all about the exterior Neumann-radiation problem and a certain interior traction eigenvalue problem, the interface problem is reduced to an interior one with a nonlocal boundary condition, which is shown to be well-posed in weak sense, modulo the satisfaction of a solvability condition. The convergence of a solution-approximating Galerkin procedure is established. It is shown that one can compute the acoustic field without examining the mentioned eigenvalue problem.