Stochastic Energy-Balance Model With A Moving Ice Line

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Dynamical Systems Pub Date : 2024-07-29 DOI:10.1137/23m1619873

Ilya Pavlyukevich, Marian Ritsch

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 2061-2098, September 2024.
Abstract.In [SIAM J. Appl. Dyn. Syst., 12 (2013), pp. 2068–2092], Widiasih proposed and analyzed a deterministic one-dimensional Budyko–Sellers energy-balance model with a moving ice line. In this paper, we extend this model to the stochastic setting and analyze it within the framework of stochastic slow-fast systems. We derive the dynamics for the ice line in the limit of a small parameter as a solution to a stochastic differential equation. The stochastic approach enables the study of co-existing (metastable) climate states as well as the transition dynamics between them.

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带有移动冰线的随机能量平衡模型

SIAM 应用动力系统期刊》，第 23 卷，第 3 期，第 2061-2098 页，2024 年 9 月。摘要：在 [SIAM J. Appl. Dyn. Syst.在本文中，我们将该模型扩展到随机环境，并在随机慢-快系统框架内对其进行分析。我们将冰线在小参数极限下的动力学推导为随机微分方程的解。采用随机方法可以研究共存的（可转移的）气候状态以及它们之间的过渡动力学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.