带噪声的动态边界条件:能量平衡模型耦合地理流动
偏微分方程分析
2025-10-29 v2
摘要
本文考察了能量平衡模型与原始方程通过带有或不带边界噪声的动态边界条件耦合的情况。我们证明该系统在确定性情况下对任意大数据在范数下(p ∈ [2,∞))以及随机情况下对任意大数据在范数下均具有全局强唯一性。
引用
@article{arxiv.2505.16449,
title = {Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows},
author = {Gianmarco Del Sarto and Matthias Hieber and Tarek Zöchling},
journal= {arXiv preprint arXiv:2505.16449},
year = {2025}
}
备注
This paper has been accepted for publication in Mathematische Nachrichten