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Structurally damped elastic waves in 2D
Author(s) -
Reissig Michael
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3888
Subject(s) - wkb approximation , gravitational singularity , mathematics , smoothing , cauchy distribution , mathematical analysis , elastic energy , energy (signal processing) , classical mechanics , physics , quantum mechanics , statistics
The goal of the paper is to study structurally damped elastic waves in 2D. A suitable diagonalization procedure allows to derive WKB representations for solutions to the Cauchy problems. As consequences, we obtain results on energy decay with and without additional regularity for the data, Gevrey smoothing, and propagation of singularities for the visco‐elastic damped elastic wave model. Copyright © 2016 John Wiley & Sons, Ltd.