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Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces (2512.04800v1)

Published 4 Dec 2025 in math.AP and math-ph

Abstract: This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary condition. It is shown that the underlying equations admit at least one strong time-periodic solution, provided the forcing term is time-periodic. The forcing term does not need to satisfy a smallness condition and is allowed to be arbitrarily large.

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