Hsiao, George C.Wendland, Wolfgang L.2022-01-312022-01-312021-10-05George C. Hsiao & Wolfgang L. Wendland (2021) On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid, Applicable Analysis, DOI: 10.1080/00036811.2021.19860271563-504Xhttps://udspace.udel.edu/handle/19716/30219This article was originally published in Applicable Analysis. The version of record is available at: https://doi.org/10.1080/00036811.2021.1986027In this paper, we are concerned with a time-dependent transmission problem for a thermo-electric-magneto-elastic solid immersed in an inviscid and compressible fluid. It is shown that the problem can be treated by the boundary-field equation method, provided an appropriate scaling factor is employed. Based on estimates of variational solutions in the Laplace-transformed domain, we obtain the properties of corresponding solutions in the time-domain without having to perform explicit inversions of the variational solutions in the Laplace-transformed domain.en-USWave–structure interactioncoupling procedureKirchhoff representation formularetarded potentialLaplace transformboundary integral equationvariational formulationSobolev spaceacoustic wavesthermoelasticitypiezoelectricityArticle