On well-posedness for some thermo-piezoelectric coupling models

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Mulholland, Anthony J. and Picard, Rainer and Trostorff, Sascha and Waurick, Marcus (2016) On well-posedness for some thermo-piezoelectric coupling models. Mathematical Methods in the Applied Sciences, 39 (15). pp. 4375-4384. ISSN 0170-4214 (https://doi.org/10.1002/mma.3866)

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Abstract

There is an increasing reliance on mathematical modelling to assist in the design of piezoelectric ultrasonic transducers since this provides a cost-effective and quick way to arrive at a first prototype. Given a desired operating envelope for the sensor the inverse problem of obtaining the associated design parameters within the model can be considered. It is therefore of practical interest to examine the well-posedness of such models. There is a need to extend the use of such sensors into high temperature environments and so this paper shows, for a broad class of models, the well-posedness of the magneto-electro-thermo-elastic problem. Due to its widespread use in the literature, we also show the well-posedness of the quasi-electrostatic case.

ORCID iDs

Mulholland, Anthony J. ORCID logoORCID: https://orcid.org/0000-0002-3626-4556, Picard, Rainer, Trostorff, Sascha and Waurick, Marcus ORCID logoORCID: https://orcid.org/0000-0003-4498-3574;
  • Item type:Article
    ID code:55393
    Dates:
    Date
    Event
    31 October 2016
    Published
    18 February 2016
    Published Online
    7 January 2016
    Accepted
    Notes:This is the peer reviewed version of the following article: Mulholland, A. J., Picard, R., Trostorff, S., & Waurick, M. (2016). On well-posedness for some thermo-piezoelectric coupling models. Mathematical Methods in the Applied Sciences, 39(15), 4375-4384., which has been published in final form at http://dx.doi.org/10.1002/mma.3866. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:28 Jan 2016 14:41
    Last modified:12 Dec 2024 03:36
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/55393
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