Asymptotic behavior of a Higher-Order Anisotropic Cahn-Hilliard system with a mass source.

Asymptotic behavior of a Higher-Order Anisotropic Cahn-Hilliard system with a mass source. | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 5 January 2025 V1 Latest version Share on Asymptotic behavior of a Higher-Order Anisotropic Cahn-Hilliard system with a mass source. Authors : Aymard Christbert NIMI and Franck Davhys Reval Langa 0009-0005-9234-5739 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.173607104.44002840/v1 162 views 97 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this article, we investigate a higher-order anisotropic Cahn-Hilliard system with a mass source (non-linear reaction term) which has applications in biology. By imposing appropriate boundary and initial conditions, we analyze the asymptotic behavior of its solutions. Initially, we demonstrate that the initial and boundary value problem generates a continuous semigroup on a suitable phase-space, which possesses a global attractor denoted by A. Subsequently, we establish the existence of an expo- nential attractor M. Consequently, the global attractor A exhibits a finite fractal dimension. MSC: 35B41, 35B45, 35K55. Supplementary Material File (article_anisotropie.pdf) Download 375.57 KB Information & Authors Information Version history V1 Version 1 05 January 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords cahn-hilliard system exponential attractors global attractor higher-order anisotropic mass source Authors Affiliations Aymard Christbert NIMI Universite Marien Ngouabi Faculte des Sciences View all articles by this author Franck Davhys Reval Langa 0009-0005-9234-5739 [email protected] Universite Marien Ngouabi Faculte des Sciences View all articles by this author Metrics & Citations Metrics Article Usage 162 views 97 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Aymard Christbert NIMI, Franck Davhys Reval Langa. Asymptotic behavior of a Higher-Order Anisotropic Cahn-Hilliard system with a mass source.. Authorea . 05 January 2025. DOI: https://doi.org/10.22541/au.173607104.44002840/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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