Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework

Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 15 January 2025 V1 Latest version Share on Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework Author : Enzo Vitillaro 0000-0003-4367-9626 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.173698035.57573940/v1 Published Mathematische Nachrichten Version of record Peer review timeline 177 views 69 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. They are all derived in a Lagrangian framework. We study well–posedness of these problems, their mutual relations, and their relations with other evolution problems modeling the same physical phenomena. They are those introduced in an Eulerian framework and those which deal with the (standard in Theoretical Acoustics) velocity potential. The latter reduce to the well–known wave equation with acoustic boundary conditions. Finally, we prove that all problems are asymptotically stable provided the system is linearly damped. Supplementary Material File (lagrangian.pdf) Download 248.72 KB Information & Authors Information Version history V1 Version 1 15 January 2025 Peer review timeline Published Mathematische Nachrichten Version of Record 19 Nov 2025 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords acoustic boundary conditions acoustic waves compressible fluids hyperbolic systems of second order semigroup theory wave equation Authors Affiliations Enzo Vitillaro 0000-0003-4367-9626 [email protected] Università di Perugia View all articles by this author Metrics & Citations Metrics Article Usage 177 views 69 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Enzo Vitillaro. Acoustic waves interacting with non--locally reacting surfaces in a Lagrangian framework. Authorea . 15 January 2025. DOI: https://doi.org/10.22541/au.173698035.57573940/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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