THERMAL SCIENCE

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Shuxian Deng

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Zi-Hao Deng

ASYMPTOTIC STABILITY OF ORBITAL ATTRACTORS FOR A CLASS OF NON-AUTONOMOUS THERMAL EQUATIONS

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.
KEYWORDS
orbital, absorption set, Conservation of Energy
PAPER SUBMITTED: 2023-08-04
PAPER REVISED: 2024-06-01
PAPER ACCEPTED: 2024-06-01
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503793D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 3, PAGES [1793 - 1802]
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Asymptotic stability of orbital attractors for a class of non-autonomous thermal equations

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence