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

2025/12/04 by Del Sarto, Gianmarco, Hieber, Matthias, Palma, Filippo +1 · 1 citation
#35K55 #35Q35 #35Q86 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2512.04800

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.

Citations

• Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows
• A non-autonomous framework for climate change and extreme weather events increase in a stochastic energy balance model
• Nonnegative controllability for a class of nonlinear degenerate\n parabolic equations with application to climate science
• Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces
• Global Well--posedness of the Three-dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics
• A Global Climatic Model Based on the Energy Balance of the Earth-Atmosphere System

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• Well-posedness and long time dynamics for a quasi-geostrophic ocean-atmosphere model with radiation balance

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