4.6 Article

Structurally damped elastic waves in 2D

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 15, Pages 4618-4628

Publisher

WILEY
DOI: 10.1002/mma.3888

Keywords

elastic waves; structural damping; WKB analysis; energy decay; Gevrey smoothing; diffusion phenomenon; propagation of singularities

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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 viscoelastic damped elastic wave model. Copyright (C) 2016 John Wiley & Sons, Ltd.

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