论文标题
大西洋多年代振荡的延迟方程模型
A Delay Equation Model for the Atlantic Multidecadal Oscillation
论文作者
论文摘要
一种基于Mori-Zwanzig形式主义的偏微分方程系统得出延迟模型的新技术用于得出大西洋多年代振荡的延迟差方程模型。 Mori-Zwanzig形式主义对包含内存术语的原始方程系统进行了重写。该内存项可以与结果延迟方程中的延迟项有关。在这里，该技术应用于大西洋多年振荡的理想化但在空间上扩展的模型。所得的延迟差模型与已用于描述厄尔尼诺南部振荡的延迟差分模型不同。除此模型外，也可以通过沿特征进行集成获得的模型外，模型平滑近似的误差项也源自Mori-Zwanzig形式主义。我们从空间扩展模型中得出延迟模型的新方法具有使用延迟模型来研究一系列气候变化现象的巨大潜力。
A new technique to derive delay models from systems of partial differential equations, based on the Mori-Zwanzig formalism, is used to derive a delay difference equation model for the Atlantic Multidecadal Oscillation. The Mori-Zwanzig formalism gives a rewriting of the original system of equations which contains a memory term. This memory term can be related to a delay term in a resulting delay equation. Here the technique is applied to an idealized, but spatially extended, model of the Atlantic Multidecadal Oscillation. The resulting delay difference model is of a different type than the delay differential model which has been used to describe the El Niño- Southern Oscillation. In addition to this model, which can also be obtained by integration along characteristics, error terms for a smoothing approximation of the model have been derived from the Mori-Zwanzig formalism. Our new method of deriving delay models from spatially extended models has a large potential to use delay models to study a range of climate variability phenomena.
