Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows

2025/05/22 by Del Sarto, Gianmarco, Hieber, Matthias, Zöchling, Tarek · 2 citations
#35K55 #35Q35 #35Q86 #60H15 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.16449

Abstract

This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the deterministic setting for arbitrary large data in W^{2(1-(1)/(p)),p} for p ∈ [2,∞) and in the stochastic setting for arbitrary large data in H¹.

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• Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces
• Stochastic diffusive energy balance climate model with a multiplicative noise modeling the Solar variability

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