边界噪声的预警信号及其在海洋布森斯克模型中的应用

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2024-10-01 DOI:10.1016/j.physd.2024.134391

P. Bernuzzi , H.A. Dijkstra , C. Kuehn

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引用次数: 0

摘要

在本文中，我们构建并讨论了边界上存在高斯白噪声的随机偏微分方程（SPDE）模型上某一参数接近确定性分岔的预警信号。我们特别关注线性化系统解的时间渐近自协方差和自相关的定性行为。我们还从分析的角度并通过各种实例讨论了这些工具的可靠性。其中，我们通过数值模拟探讨了海洋布辛斯克模型预警信号的应用。所获得的分析结果扩展了之前的工作，为各种应用提供了有价值的预警信号。

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Warning signs for boundary noise and their application to an ocean Boussinesq model

In this paper, we construct and discuss early-warning signs of the approach of a parameter to a deterministic bifurcation on a stochastic partial differential equation (SPDE) model with Gaussian white-noise on the boundary. We specifically focus on the qualitative behaviour of the time-asymptotic autocovariance and autocorrelation of the solutions of the linearized system. We also discuss the reliability of the tools from an analytic perspective and through various examples. Among those, the application of the early-warning signs for an ocean Boussinesq model is explored through numerical simulations. The analytic results obtained expand on previous work and present valuable early-warning signs for various applications.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.