The stabilization of star-shaped network with moving boundary

The stabilization of star-shaped network with moving boundary | 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 Search Search ADVANCED SEARCH SCROLL Mathematical Methods in the Applied Sciences This is a preprint and has not been peer reviewed. Data may be preliminary. 15 April 2025 V1 Latest version Share on The stabilization of star-shaped network with moving boundary Author : Huimin Liu 0009-0004-1329-4703 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174473843.33786687/v1 Published Mathematical Methods in the Applied Sciences Version of record Peer review timeline 193 views 162 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We consider the stabilization of star-shaped network with moving boundary. The network consists of a single node with 3 connected arcs. The dynamics on each arc is governed by the wave equation. There is boundary damping at the first two boundary points. At the central node, the states are coupled by algebraic conditions. We show the solution behaviour of star-shaped network with Neumann boundary conditions, that is, the energy of star-shaped network with mixed boundary conditions decrease or not depending on the different range of parameter. Supplementary Material File (lhm(2).pdf) Download 223.57 KB Information & Authors Information Version history V1 Version 1 15 April 2025 Peer review timeline Published Mathematical Methods in the Applied Sciences Version of Record 21 Jan 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords moving boundary stabilization star-shaped network Authors Affiliations Huimin Liu 0009-0004-1329-4703 [email protected] Beijing Institute of Technology Department of Mathematics View all articles by this author Metrics & Citations Metrics Article Usage 193 views 162 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Huimin Liu. 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