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arXiv · 2512.04800

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

Gianmarco Del Sarto·Matthias Hieber·Filippo Palma·Tarek Zöchling
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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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Gianmarco Del Sarto, Matthias Hieber, Filippo Palma, Tarek Zöchling. 2025-12-04. Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces. https://arxiv.org/abs/2512.04800

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