论文标题

具有不稳定动力学的预测批准过程的渐近行为

Asymptotic behavior of the forecast-assimilation process with unstable dynamics

论文作者

Crisan, Dan, Ghil, Michael

论文摘要

广泛的数值证据表明,在数值天气预测和其他地方,观测值的同化对不稳定动力学的稳定作用。在本文中,我们应用数学上严格的方法来表明为什么这样做。我们的稳定结果并未假设一组观察结果,我们提供的例子足以观察模型的不稳定自由度。

Extensive numerical evidence shows that the assimilation of observations has a stabilizing effect on unstable dynamics, in numerical weather prediction and elsewhere. In this paper, we apply mathematically rigorous methods to showing why this is so. Our stabilization results do not assume a full set of observations and we provide examples where it suffices to observe the model's unstable degrees of freedom.

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