ON THE EXPONENTIAL STABILIZATION OF THE NONLINEAR ROTATING BODY-BEAM SYSTEM WITH A BOUNDARY INFINITE MEMORY OF TYPE ANGULAR VELOCITY: THEORETICAL AND NUMERICAL RESULTS

ON THE EXPONENTIAL STABILIZATION OF THE NONLINEAR ROTATING BODY-BEAM SYSTEM WITH A BOUNDARY INFINITE MEMORY OF TYPE ANGULAR VELOCITY: THEORETICAL AND NUMERICAL RESULTS | 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 ? 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Data may be preliminary. 21 October 2025 V1 Latest version Share on ON THE EXPONENTIAL STABILIZATION OF THE NONLINEAR ROTATING BODY-BEAM SYSTEM WITH A BOUNDARY INFINITE MEMORY OF TYPE ANGULAR VELOCITY: THEORETICAL AND NUMERICAL RESULTS Authors : Boumediène Chentouf 0000-0001-9365-449X [email protected] , Sabeur Mansouri 0000-0002-4785-0585 , MAURICIO SEPÚLVEDA CORTÉS , and Rodrigo Vejar 0000-0001-8730-9518 Authors Info & Affiliations https://doi.org/10.22541/au.176103766.67448658/v1 Published Mathematical Methods in the Applied Sciences Version of record Peer review timeline 181 views 157 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper is concerned with the investigation of the effect of a boundary infinite memory term on the stability of the nonlinear rotating disk-beam system. Assuming that infinite memory is of angular velocity type, the minimal state approach is employed to handle the memory term. Under specific conditions on the memory kernel function and the physical parameters of the system, we demonstrate that the problem is well-posed and its solutions are exponentially stable. In particular, the beam vibrations are suppressed, and the disk keeps rotating at a desired angular velocity, provided the latter remains bounded. Last but not least, using the Finite Volumes Method, a comprehensive numerical study validates the theoretical stability results. Supplementary Material File (cmsv.pdf) Download 823.11 KB Information & Authors Information Version history V1 Version 1 21 October 2025 Peer review timeline Published Mathematical Methods in the Applied Sciences Version of Record 11 Mar 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords exponential stability finite volumes method infinite memory minimal state nonlinear body-beam Authors Affiliations Boumediène Chentouf 0000-0001-9365-449X [email protected] Kuwait University View all articles by this author Sabeur Mansouri 0000-0002-4785-0585 Universite de Monastir Faculte des Sciences de Monastir View all articles by this author MAURICIO SEPÚLVEDA CORTÉS Universidad de Concepcion View all articles by this author Rodrigo Vejar 0000-0001-8730-9518 Universidad de La Serena View all articles by this author Metrics & Citations Metrics Article Usage 181 views 157 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Boumediène Chentouf, Sabeur Mansouri, MAURICIO SEPÚLVEDA CORTÉS, et al. ON THE EXPONENTIAL STABILIZATION OF THE NONLINEAR ROTATING BODY-BEAM SYSTEM WITH A BOUNDARY INFINITE MEMORY OF TYPE ANGULAR VELOCITY: THEORETICAL AND NUMERICAL RESULTS. Authorea . 21 October 2025. 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