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arXiv · 2505.16449

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

Gianmarco Del Sarto·Matthias Hieber·Tarek Zöchling
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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 $W^{2(1-\frac{1}{p}),p}$ for $p \in [2,\infty)$ and in the stochastic setting for arbitrary large data in $H^1$.

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Gianmarco Del Sarto, Matthias Hieber, Tarek Zöchling. 2025-05-22. Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows. https://arxiv.org/abs/2505.16449

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