Stochastic Climate Models

Stochastic Climate Models

Stochastic Climate Models

Stochastic Climate Models

Paperback(Softcover reprint of the original 1st ed. 2001)

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Overview

The proceedings of the summer 1999 Chorin workshop on shastic climate models captures well the spirit of enthusiasm of the workshop participants engaged in research in this exciting field. It is amazing that nearly 25 years after the formal theory of natural climate variability generated by quasi-white-noise weather forcing was developed, and almost 35 years after J . M. Mitchell first suggested this mechanism as the origin of sea-surf ace-temperature fluctuations and climate variability, there have arisen so many fresh perspectives and new applications of the theory. The workshop has succeeded admirably in high­ lighting these new aspects while clarifying the position of shastic climate modelling within the general framework of climate research and mathematical modelling. The organizers can be congratulated in bringing together leading researchers covering a wide range of scientific expertise, from mathematicians concerned with the derivation of shastic models from first principles, to app­ lied climate modellers trying to understand the dynamics of the complex climate system. Following the first burst of shastic modelling papers in the decade from the mid-seventies to the mid-eighties, in which the viability of the concept was demonstrated using relatively simple conceptual models, there was a lull of work in this field. One awaited the development of more sophisticated climate models with which one could carry out realistic quantitative analyses of the implications of shastic forcing for the global climate system. Now that these models have become widely available, it is natural that one is witnessing a resurgence of shastic modelling investigations.

Product Details

ISBN-13: 9783034895040
Publisher: Birkhäuser Basel
Publication date: 10/23/2012
Series: Progress in Probability , #49
Edition description: Softcover reprint of the original 1st ed. 2001
Pages: 398
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 The Hierarchy of Climate Models.- A gallery of simple models from climate physics.- Simple climate models.- Complex climate models’ tools for studying the origin of shasticity in the climate system.- Some mathematical aspects of the GCMs.- 2 The Emergence of Randomness: Chaos, Averaging, Limit Theorems.- Hasselmann’s program revisited: the analysis of shasticity in deterministic climate models.- Thermodynamic formalism, large deviation, and multifractals.- Averaging and climate models.- Dynamical systems with time scale separation: averaging, shastic modelling, and central limit theorems.- 3 Tools and Methods: SDE, Dynamical Systems, SPDE, Multiscale Techniques.- Energy balance models — viewed from shastic dynamics.- Exponential stability of the quasigeostrophic equation under random perturbations.- A mini course on shastic partial differential equations.- Hasselmann’s shastic climate model viewed from a statistical mechanics perspective.- 4 Reduced Shastic Models and Particular Techniques.- Constrained shastic forcing.- Shastic resonance and noise-induced phase coherence.- Shastic confinement of Rossby waves by fluctuating eastward flows.- Some mathematical remarks concerning the localization of planetary waves in a shastic background flow.- Rossby waves in a shastically fluctuating medium.- Passive tracer transport in shastic flows.
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