Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Nonlinear acoustic wave propagation in atmosphere

Author: S. I. Hariharan
Journal: Quart. Appl. Math. 45 (1987), 735-748
MSC: Primary 86A35; Secondary 76Q05
DOI: https://doi.org/10.1090/qam/917023
MathSciNet review: 917023
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Abstract: In this paper we consider a model problem that simulates an atmospheric acoustic wave propagation situation that is nonlinear. The model is derived from the basic Euler equations for the atmospheric flow and from the regular perturbations for the acoustic part. The nonlinear effects are studied by obtaining two successive linear problems in which the second one involves the solution of the first problem. Well-posedness of these problems is discussed and approximations of the radiation boundary conditions that can be used in numerical simulations are presented.

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DOI: https://doi.org/10.1090/qam/917023
Article copyright: © Copyright 1987 American Mathematical Society

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