Journal article
Decoupling elastic waves and its applications
Journal of Differential Equations, v 263(8), pp 4442-4480
15 Oct 2017
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Abstract
In this paper, we consider time-harmonic elastic wave scattering governed by the Lame system. It is known that the elastic wave field can be decomposed into the shear and compressional parts, namely, the pressure and shear waves that are generally coexisting, but propagating at different speeds. We consider the third or fourth kind impenetrable scatterer and derive two geometric conditions, respectively, related to the mean and Gaussian curvatures of the boundary surface of the scatterer that can ensure the decoupling of the shear and pressure waves. The decoupling results are new to the literature and are of significant interest for their own sake. As an interesting application, we apply the decoupling results to the uniqueness and stability analysis for inverse elastic scattering problems in determining polyhedral scatterers by a minimal number of far-field measurements. (C) 2017 Elsevier Inc. All rights reserved.
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Details
- Title
- Decoupling elastic waves and its applications
- Creators
- Hongyu Liu - Hong Kong Baptist UniversityJingni Xiao - Hong Kong Baptist University
- Publication Details
- Journal of Differential Equations, v 263(8), pp 4442-4480
- Publisher
- Elsevier
- Number of pages
- 39
- Grant note
- 12302415 / FRG grants from Hong Kong Baptist University, Hong Kong RGC General Research Fund
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000407665900002
- Scopus ID
- 2-s2.0-85020110051
- Other Identifier
- 991021878114604721
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