TY - JOUR
TI - Asymptotic stability of orbital attractors for a class of non-autonomous thermal equations
AU - Deng Shuxian
AU - Deng Zi-Hao
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 1793
EP - 1802
PT - Article
AB - 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.