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Oscillatory boundary conditions for acoustic wave equations

In: Nonlinear Evolution Equations and Related Topics

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  • Ciprian G. Gal

    (University of Memphis)

  • Gisèle Ruiz Goldstein

    (University of Memphis)

  • Jerome A. Goldstein

    (University of Memphis)

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.

Suggested Citation

  • Ciprian G. Gal & Gisèle Ruiz Goldstein & Jerome A. Goldstein, 2003. "Oscillatory boundary conditions for acoustic wave equations," Springer Books, in: Wolfgang Arendt & Haïm Brézis & Michel Pierre (ed.), Nonlinear Evolution Equations and Related Topics, pages 623-635, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-7924-8_32
    DOI: 10.1007/978-3-0348-7924-8_32
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