Open AccessPullback attractors for weak solution to modified Kelvin-Voigt model
Author(s) -
M. V. Turbin,
A. S. Ustiuzhaninova
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2022011
Subject(s) - pullback attractor , pullback , trajectory , attractor , mathematics , mathematical analysis , base (topology) , pure mathematics , physics , astronomy
The paper is devoted to the investigation of the qualitative dynamics of weak solutions for the modified Kelvin-Voigt model on the base of the theory of pullback attractors for trajectory spaces. At first, for the studied model, an auxiliary problem is considered, its solvability in the weak sense is proved, and some solution estimates are established. Then, on the base of these estimates, a family of trajectory spaces is determined and the existence of trajectory and minimal pullback attractors for the considered trajectory spaces is proved.