Work

Pullback attractor for a non-autonomous Lamé lattice system

Year: 2024

Type: article

Abstract: We study the dynamics of a non-autonomous Lamé lattice system with displacement-depedent damping. First, we formulate the problem in an appropriate space and show the existence of global solutions. Then, we prove the existence of a pullback attractor for the associated evolution process. Finally, we analyze the upper semicontinuity of pullback attractors when the parameter $ \nu = \lambda+\mu $, where $ \lambda $ and $ \mu $ are the Lamé constants, goes to zero.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2024084

Author: Jardel M. Pereira

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403356524

FWCI: 0.16

Cites: 23

Cited by: 1

Related to: 10