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

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.