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The Soundproof Model of an Acoustic–internal Waves System with Low Stratification

OAI: oai:www.repository.cam.ac.uk:1810/343697 DOI: 10.17863/CAM.91115
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Abstract

AbstractThis 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.