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Article

Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers

by 1 and 2,*
1
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
2
Department of Mathematics, The University of Arizona, Tucson, AZ 85721, USA
*
Author to whom correspondence should be addressed.
Dedicated to Professor Wolfgang L. Wendland on the occasion of his 85th Birthday.
Academic Editor: Iman Borazjani
Fluids 2021, 6(3), 101; https://doi.org/10.3390/fluids6030101
Received: 10 February 2021 / Revised: 26 February 2021 / Accepted: 26 February 2021 / Published: 3 March 2021
(This article belongs to the Special Issue Fluid Structure Interaction: Methods and Applications)
In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body that is immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided that an appropriate scaling factor is employed. As usual, based on estimates for solutions in the Laplace-transformed domain, we may obtain properties of corresponding solutions in the time-domain without having to perform the inversion of the Laplace-domain solutions. View Full-Text
Keywords: wave-structure interaction; coupling procedure; kirchhoff representation formula; retarded potential; laplace transform; boundary integral equation; variational formulation; sobolev space; transient waves; thermoelasticity; piezoelectricity wave-structure interaction; coupling procedure; kirchhoff representation formula; retarded potential; laplace transform; boundary integral equation; variational formulation; sobolev space; transient waves; thermoelasticity; piezoelectricity
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MDPI and ACS Style

Hsiao, G.C.; Sánchez-Vizuet, T. Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers. Fluids 2021, 6, 101. https://doi.org/10.3390/fluids6030101

AMA Style

Hsiao GC, Sánchez-Vizuet T. Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers. Fluids. 2021; 6(3):101. https://doi.org/10.3390/fluids6030101

Chicago/Turabian Style

Hsiao, George C., and Tonatiuh Sánchez-Vizuet. 2021. "Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers" Fluids 6, no. 3: 101. https://doi.org/10.3390/fluids6030101

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