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Autumn 2018 On an elasto-acoustic transmission problem in anisotropic‎, ‎inhomogeneous media
Rainer Picard
Adv. Oper. Theory 3(4): 816-828 (Autumn 2018). DOI: 10.15352/aot.1803-1323

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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Rainer Picard. "On an elasto-acoustic transmission problem in anisotropic‎, ‎inhomogeneous media." Adv. Oper. Theory 3 (4) 816 - 828, Autumn 2018. https://doi.org/10.15352/aot.1803-1323

Information

Received: 1 March 2018; Accepted: 12 June 2018; Published: Autumn 2018
First available in Project Euclid: 7 July 2018

zbMATH: 06946380
MathSciNet: MR3856175
Digital Object Identifier: 10.15352/aot.1803-1323

Subjects:
Primary: 47F05
Secondary: 35L50, 46E40, 74F10

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.3 • No. 4 • Autumn 2018
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