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arXiv:1204.4075 [math.AP]AbstractReferencesReviewsResources

Webster's equation with curvature and dissipation

Teemu Lukkari, Jarmo Malinen

Published 2012-04-18, updated 2013-06-28Version 3

Wave propagation in curved tubular domains is considered. A general version of Webster's equation is derived from the scattering passive wave equation. More precisely, it is shown that planar averages of a sufficiently smooth solution of the wave equation satisfy the corresponding Webster's equation when the latter includes additional control signals determined by the solution.

Comments: 27pp., 3pp. appendix, 3 figures
Categories: math.AP, math.DS
Subjects: 35L05, 35L20, 93C20, 47N70
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