✦ LIBER ✦

An eigenvalue problem related to sound propagation in elastic tubes

✍ Scribed by Miriam Bareket; B. Rulf

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 462 KB
Volume: 38
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(75)80132-5

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✦ Synopsis

Techniques for finding bounds on the lowest eigenvalue, 2~, of the problem Au + 2u = 0 in D, Ol . _2t = On zuon OD(z> 0), are discussed, and some properties of 2t and ui are derived. The problem arises in acoustic propagation in elastic tubes. The lowest eigenvalue is negative, and corresponds to a propagation mode with phase speed smaller than the speed of sound.

Consider the eigenvalue problem

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