Title	The transmission problem in linear isotropic elasticity
Creator	Stefanov, Plamen
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-04-11T10:34
Description	We study the isotropic elastic wave equation in a bounded domain with boundary with coefficients having jumps at a nested set of interfaces satisfying the natural transmission conditions there. We analyze in detail the microlocal behavior of such solution like reflection, transmission and mode conversion of S and P waves, evanescent modes, Rayleigh and Stoneley waves. In particular, we recover Knott's equations in this setting. We show that knowledge of the Dirichlet-to-Neumann map determines uniquely the speed of the P and the S waves if there is a strictly convex foliation with respect to them, under an additional condition of lack of full internal reflection of some of the waves. This is a joint work with Andras Vasy and Gunther Uhlmann
Extent	52.0 minutes
Subject	Mathematics; Global analysis, analysis on manifolds; Dynamical systems and ergodic theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Purdue University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-12-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395230
URI	http://hdl.handle.net/2429/76744
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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The transmission problem in linear isotropic elasticity Stefanov, Plamen

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