The Soundproof Model of an Acoustic–internal Waves System with Low Stratification
Copyright policy )The Soundproof Model of an Acoustic–internal Waves System with Low Stratification
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.
- University of Cambridge United Kingdom
- Texas A&M University United States
- The University of Texas System United States
- Texas A&M University United States
- Texas A&M University United States
Low stratification, 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, FOS: Physical sciences, PDEs in connection with fluid mechanics, 76B55, 76B70, 76N30, 86A99, 5103 Classical Physics, 76N30, Article, oscillating internal wave, Mathematics - Analysis of PDEs, FOS: Mathematics, Internal waves, soundproof approximation, Mathematical Physics, non-oscillating mean flow, convergence, 86A99, Hydro- and aero-acoustics, Mathematical Physics (math-ph), Waves in compressible fluids, Soundproof approximation, 4.1 Discovery and preclinical testing of markers and technologies, Acoustic waves, 76B55, In memory of Antonin Novotny, singular system, ill-prepared data, 51 Physical Sciences, 76B70, Analysis of PDEs (math.AP)
Low stratification, 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, FOS: Physical sciences, PDEs in connection with fluid mechanics, 76B55, 76B70, 76N30, 86A99, 5103 Classical Physics, 76N30, Article, oscillating internal wave, Mathematics - Analysis of PDEs, FOS: Mathematics, Internal waves, soundproof approximation, Mathematical Physics, non-oscillating mean flow, convergence, 86A99, Hydro- and aero-acoustics, Mathematical Physics (math-ph), Waves in compressible fluids, Soundproof approximation, 4.1 Discovery and preclinical testing of markers and technologies, Acoustic waves, 76B55, In memory of Antonin Novotny, singular system, ill-prepared data, 51 Physical Sciences, 76B70, Analysis of PDEs (math.AP)
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