Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers
Analysis of PDEs
2021-05-28 v3 Numerical Analysis
Mathematical Physics
math.MP
Numerical Analysis
Abstract
In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body immersed in a compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided 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.
Cite
@article{arxiv.2102.04118,
title = {Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers},
author = {George C. Hsiao and Tonatiuh Sánchez-Vizuet},
journal= {arXiv preprint arXiv:2102.04118},
year = {2021}
}