Trajectory and Global Attractors for the Kelvin–Voigt Model Taking into Account Memory along Fluid Trajectories

Autor:	Mikhail Turbin, Anastasiia Ustiuzhaninova
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	trajectory attractor global attractor Kelvin–Voigt model regular Lagrangian flow boundary value problem non-Newtonian fluid Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 2, p 266 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12020266
Popis:	This article is devoted to the study of the existence of trajectory and global attractors in the Kelvin–Voigt fluid model, taking into account memory along the trajectories of fluid motion. For the model under study, the concept of a weak solution on a finite segment and semi-axis is introduced and the existence of their solutions is proved. The necessary exponential estimates for the solutions are established. Then, based on these estimates, the existence of trajectory and global attractors in the problem under study is proved.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2626a6a70e974121bb4d9d955666fd13 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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