The leading singularity of a wave reflected by a moving boundary
type: Item
instance of: scholarly article
title: The leading singularity of a wave reflected by a moving boundary
zbMATH Open document ID: 0547.35075
DOI: 10.1016/0022-0396(84)90176-1
author: Jeffery Cooper
author: Walter A. Strauss
published in: Journal of Differential Equations
publication date: 1984-01-01T00:00:00Z
review text: The authors calculate the wavefront which is reflected when a delta- function plane wave impinges upon a three dimensional moving impenetrable body. The body may move or change its shape in any smooth manner as long as it remains in a fixed sphere and move slower than the wave speed. The simplest kind of wave, i.e. solution of the scalar wave equation in \(R^ 4\) which vanishes on the space-time boundary of the moving body, is considered.
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 3871915
zbMATH Keywords: propagation of singularities
zbMATH Keywords: moving obstacle
zbMATH Keywords: wavefront
MaRDI profile type: Publication
full work available at URL: 0022-0396(84)90176-1
OpenAlex ID: W2014420474
cites work: Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel
cites work: Q3864310
cites work: Scattering of waves by periodically moving bodies
cites work: The scattering of sound waves by an obstacle
cites work: A representation formula for the scattering operator and the inverse problem for arbitrary bodies
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description: scientific article; zbMATH DE number 3871915