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Licensed Unlicensed Requires Authentication Published by De Gruyter June 20, 2017

On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics

An Evo-System Approach

Rainer Picard

Abstract

We consider a coupled system of Maxwell’s equations and the equations of elasticity, which is commonly used to model piezo-electric material behavior. The boundary influence is encoded as a separate dynamics on the boundary data spaces coupled to the partial differential equations. Evolutionary well-posedness, i.e. Hadamard well-posedness and causal dependence on the data, is shown for the resulting model system.

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Received: 2017-1-3
Revised: 2017-3-16
Accepted: 2017-3-28
Published Online: 2017-6-20
Published in Print: 2017-7-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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