Scaling laws and warning signs for bifurcations of SPDEs

DOI10.1017/S0956792518000438zbMath1447.60106arXiv1801.05201OpenAlexW3098001691WikidataQ114849898 ScholiaQ114849898MaRDI QIDQ5237243

Christian Kuehn, Francesco Romanò

Publication date: 17 October 2019

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05201

zbMATH Keywords

stochastic partial differential equationscaling lawcritical transitiontipping pointwarning sign

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

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• Multiple time scale dynamics
• Kolmogorov equations for stochastic PDEs.
• Early-warning signs for pattern-formation in stochastic partial differential equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Semigroups of linear operators and applications to partial differential equations
• Bifurcation theory. An introduction with applications of PDEs
• Pathwise description of dynamic pitchfork bifurcations with additive noise
• Nonlinear manifold learning for early warnings in financial markets
• A mathematical framework for critical transitions: normal forms, variance and applications
• Tipping elements in the Earth's climate system
• Pattern Formation
• Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation
• The validity of modulation equations for extended systems with cubic nonlinearities
• One-Parameter Semigroups for Linear Evolution Equations
• Patterned vegetation, tipping points, and the rate of climate change
• Noise-Induced Phenomena in Slow-Fast Dynamical Systems
• Stochastic Equations in Infinite Dimensions