Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. (December 2022)

• Record Type: Journal Article
• Authors: López-Lázaro, Heraclio; Nascimento, Marcelo J.D.; Rubio, Obidio
• Is Part Of: Nonlinear analysis. Volume 225(2022)
• Publication Date: 2022-12
• Subjects: primary 35B41 35K55 35R37 37L30 -- secondary 35K57 35K58 35Q79; Nonlinear heat equation -- Delay differential equations -- Moving boundary -- Pullback attractors -- Fractal dimension; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113107
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this article we study a semilinear mathematical model with delay term for thermal conduction problems defined on a one-dimensional moving boundary domain. The goals of this work are to prove existence, regularity, and finite fractal dimension of the pullback attractors on tempered universes that depends on a non-increasing function η : R → ( 0, + ∞ ) .