Stochastic Climate Models

by Peter Imkeller (Editor), Jin-Song von Storch (Editor)

Overview

A collection of articles written by mathematicians and physicists, designed to describe the state of the art in climate models with stochastic input. Mathematicians will benefit from a survey of simple models, while physicists will encounter mathematically relevant techniques at work.

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.

Editorial Reviews

"The proceedings of the workshop on Shastic Climate Models, held in Chorin in 1999, present an exiting and stimulating summary of probabilistic developments in climate physics. Shastic processes, shastic and partial differential equations, random dynamical systems, local and large deviations asymptotic procedures, have comprised the most actice mathematical areas in teh field over the past 30 years, since Klaus Haselmann suggested a climate shastic model where weather fluctuations randomly force the climate in the same way that fluid modecules forse Brownian pollen particles. . . The structure of the book reflects its aim to review and explain recent matheamtical additions to the list of tools for climate modelling, to help the climate physicists to understand what these tools are about. . . The book is strongly recommended as an excellent source or information and inspiration, both to mathematicians and physicists interested in the field."

—-EMS NEWSLETTER

From the Publisher