Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds

Autor:	Razvan C. Fetecau, Francesco S. Patacchini, Hansol Park
Rok vydání:	2021
Předmět:	Mass transport Collective behavior Classical mechanics Applied Mathematics Analysis Well posedness Mathematics
Zdroj:	Analysis and Applications. 19:965-1017
ISSN:	1793-6861 0219-5305
DOI:	10.1142/s0219530521500081
Popis:	We investigate a model for collective behavior with intrinsic interactions on Riemannian manifolds. We establish the well-posedness of measure-valued solutions (defined via mass transport) on sphere, as well as investigate the mean-field particle approximation. We study the long-time behavior of solutions to the model on sphere, where the primary goal is to establish sufficient conditions for a consensus state to form asymptotically. Well-posedness of solutions and the formation of consensus are also investigated for other manifolds (e.g., a hypercylinder).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c48c40bb468879da51f8184d59a804f https://doi.org/10.1142/s0219530521500081 Zobrazit plný text záznamu