On an elasto-acoustic transmission problem in anisotropic‎, inhomogeneous‎ media

Document Type: Original Article

Author

‎Technische Universitat Dresden, Germany

Abstract

We consider a coupled system describing the interaction between acoustic and elastic regions‎, ‎where the coupling occurs not via material properties but through an interaction on an interface separating the two regimes‎. ‎Evolutionary well-posedness in the sense of Hadamard well-posedness supplemented by causal dependence is shown for a natural choice of generalized interface conditions‎. ‎The results are obtained in a real Hilbert space setting incurring no regularity constraints on the boundary and almost none on the interface of the underlying regions‎. ‎

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