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Some remarks on nonlinear poroacoustic phenomena

✍ Scribed by P.M. Jordan


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
262 KB
Volume
80
Category
Article
ISSN
0378-4754

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✦ Synopsis


Using perturbation analysis, we study the behavior and propagation of finite-amplitude harmonic waves in the context of the poroacoustic version of Stokes' second problem. Low-and high-frequency expressions are derived, critical parameter values are determined, and we compare the solution obtained with those of the corresponding linear and lossless problems. In addition, numerical results are presented, a connection between the breakdown of the present perturbation solution and poroacoustic acceleration wave amplitude blow-up is noted, and a generalization of the model equation used in this study is briefly discussed. Published by Elsevier B.V. on behalf of IMACS.


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Bo n B , be an operator satisfying some conditions such as continuity, estimates etc. in terms of the norms of A j , Bj ( j = 0, 1). We consider the question which one of these properties is inherited to T when A , n A, and E , n B, are equipped with the norm of A, and B,. 0. \* Furthermore, let D,