The soundproof model of an acoustic--internal waves system with low stratification
Analysis of PDEs
2022-08-24 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2208.03180,
title = {The soundproof model of an acoustic--internal waves system with low stratification},
author = {Didier Bresch and Rupert Klein and Xin Liu},
journal= {arXiv preprint arXiv:2208.03180},
year = {2022}
}