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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/917023

Article copyright:
© Copyright 1987
American Mathematical Society