Work

Asymptotic stability of orbital attractors for a class of non-autonomous thermal equations

Year: 2025

Type: article

Abstract: This paper examines the existence and asymptotic stability of orbital attractors for a class of non-autonomous thermal equations. The study employs the attractor theory in non-autonomous infinite-dimensional dynamical systems, in con-junction with the energy method, compression function method, and Kuratowski non-compactness measure theory. Verification of the existence of the orbital absorption set allows us to conclude that the orbital attractor exists when the non-linear term is independent of time and dependent on time.

Source: Thermal Science

DOI: 10.2298/tsci2503793d

Authors: Shuxian Deng, Zi-Hao Deng

Institution: National Technical University "Kharkiv Polytechnic Institute"

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $161

Funders: Science and Technology Department of Henan Province, Key Scientific Research Project of Colleges and Universities in Henan Province