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arXiv · 2208.03180

The soundproof model of an acoustic--internal waves system with low stratification

Didier Bresch·Rupert Klein·Xin Liu
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Abstract

This work is devoted to investigating a compressible fluid system with low stratification, which is driven by fast acoustic waves and internal waves. The approximation using a soundproof model is justified. More precisely, the soundproof model captures the dynamics of both the non-oscillating mean flows and the oscillating internal waves, while filters out the fast acoustic waves, of the compressible system with or without initial acoustic waves. Moreover, the fast-slow oscillation structure is investigated.

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Didier Bresch, Rupert Klein, Xin Liu. 2022-08-05. The soundproof model of an acoustic--internal waves system with low stratification. https://doi.org/10.1007/s00021-022-00712-4

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