Oscillatory boundary conditions for acoustic wave equations

Ciprian G. Gal (), Gisèle Ruiz Goldstein () and Jerome A. Goldstein ()
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Ciprian G. Gal: University of Memphis
Gisèle Ruiz Goldstein: University of Memphis
Jerome A. Goldstein: University of Memphis

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 623-635 from Springer

Abstract: Abstract In the textbook literature on theoretical acoustics, it was traditional to use the Robin boundary condition with the wave equation. But it was recognized that this was not the physically correct boundary condition. “Acoustic Boundary Conditions” (or ABC) were introduced in the monograph by Morse and Ingard [13, p. 263]. The presentation in [13] is not the usual approach to the wave equations, since the authors treat waves having definite frequency. The time dependent version of ABC was first formulated by Tom Beale and Steve Rosencrans [1] in a very interesting and original paper. ABC will be explained in detail in Section 2.

Keywords: Primary 35L05; Secondary 35L15; 35L20; 34010; 76Q05; Acoustic waves; wave equation acoustic boundary conditions; general Wentzell boundary conditions; noncompact resolvent (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_32

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DOI: 10.1007/978-3-0348-7924-8_32

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