Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability


Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability
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Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability


Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability
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Author : Michael Ghil
language : en
Publisher:
Release Date : 1975

Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability written by Michael Ghil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.


A diffusive energy-balance climate model is considered, governed by a nonlinear parabolic partial differential equation. Three positive steady-state solutions of this equation are found; they correspond to three possible climates of our planet: an interglacial (nearly identical to the present climate), a glacial, and a completely ice-covered earth. Also considered are models similar to the main one studied, and the number of their steady states are determined. All the models have albedo continuously varying with latitude and temperature, and entirely diffusive horizontal heat transfer. The diffusion is taken to be nonlinear as well as linear. The stability under small perturbations of the main model's climates are investigated. A stability criterion is derived, and its application shows that the 'present climate' and the 'deep freeze' are stable, whereas the model's glacial is unstable.



Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability Classic Reprint


Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability Classic Reprint
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Author : Michael Ghil
language : en
Publisher: Forgotten Books
Release Date : 2018-02-04

Steady State Solutions Of A Diffusive Energy Balance Climate Model And Their Stability Classic Reprint written by Michael Ghil and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-04 with Mathematics categories.


Excerpt from Steady-State Solutions of a Diffusive Energy-Balance Climate Model and Their Stability This research was supported by the Advanced Research Projects Agency under Grant No. AFOSR-74 -2728, as well as by the National Aeronautics and Space Administration under Grant No. NASA-NSG-5034. Views and conclusions contained in this study should not be interpreted as representing the official opinion or policy of the Courant Institute of Mathematical Sciences, or of New York University, or of Arpa. Approved for public release; distribution unlimited. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.



Topics In Geophysical Fluid Dynamics Atmospheric Dynamics Dynamo Theory And Climate Dynamics


Topics In Geophysical Fluid Dynamics Atmospheric Dynamics Dynamo Theory And Climate Dynamics
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Author : M. Ghil
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topics In Geophysical Fluid Dynamics Atmospheric Dynamics Dynamo Theory And Climate Dynamics written by M. Ghil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


The vigorous stirring of a cup of tea gives rise, as we all know, to interesting fluid dynamical phenomena, some of which are very hard to explain. In this book our "cup of tea" contains the currents of the Earth's atmosphere, oceans, mantle, and fluid core. Our goal is to under stand the basic physical processes which are most important in describing what we observe, directly or indirectly, in these complex systems. While in many respects our understanding is measured by the ability to predict, the focus here will be on relatively simple models which can aid our physical intuition by suggesting useful mathematical methods of investiga tion. These elementary models can be viewed as part of a hierarchy of models of increasing complexity, moving toward those which might be use fully predictive. The discussion in this book will deal primarily with the Earth. Interplanetary probes of Venus, Mars, Jupiter and Saturn have revealed many exciting phenomena which bear on geophysical fluid dynamics. They have also enabled us to see the effect of changing the values of certain parameters, such as gravity and rotation rate, on geophysical flows. On the other hand, satellite observations of our own planet on a daily and hourly basis have turned it into a unique laboratory for the study of fluid motions on a scale never dreamt of before: the motion of cyclones can be observed via satellite just as wing tip vortices are studied in a wind tunnel.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.




Government Reports Annual Index


Government Reports Annual Index
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Author :
language : en
Publisher:
Release Date : 1975

Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Government reports announcements & index categories.




Energy Balance Climate Models


Energy Balance Climate Models
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Author : Gerald R. North
language : en
Publisher: John Wiley & Sons
Release Date : 2017-12-04

Energy Balance Climate Models written by Gerald R. North and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Science categories.


Energy Balance Climate Models Written by renowned experts in the field, this first book to focus exclusively on energy balance climate models provides a concise overview of the topic. It covers all major aspects, from the simplest zero-dimensional models, proceeding to horizontally and vertically resolved models. The text begins with global average models, which are explored in terms of their elementary forms yielding the global average temperature, right up to the incorporation of feedback mechanisms and some analytical properties of interest. The eff ect of stochastic forcing is then used to introduce natural variability in the models before turning to the concept of stability theory. Other one dimensional or zonally averaged models are subsequently presented, along with various applications, including chapters on paleoclimatology, the inception of continental glaciations, detection of signals in the climate system, and optimal estimation of large scale quantities from point scale data. Throughout the book, the authors work on two mathematical levels: qualitative physical expositions of the subject material plus optional mathematical sections that include derivations and treatments of the equations along with some proofs of stability theorems. A must-have introduction for policy makers, environmental agencies, and NGOs, as well as climatologists, molecular physicists, and meteorologists.



Erda Energy Research Abstracts


Erda Energy Research Abstracts
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Author : United States. Energy Research and Development Administration. Technical Information Center
language : en
Publisher:
Release Date : 1976

Erda Energy Research Abstracts written by United States. Energy Research and Development Administration. Technical Information Center and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Force and energy categories.




Erda Energy Research Abstracts


Erda Energy Research Abstracts
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Author : United States. Energy Research and Development Administration
language : en
Publisher:
Release Date : 1976

Erda Energy Research Abstracts written by United States. Energy Research and Development Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Medicine categories.




Government Reports Announcements


Government Reports Announcements
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Author :
language : en
Publisher:
Release Date : 1975-08-22

Government Reports Announcements written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-08-22 with Technology categories.




Government Reports Announcements Index


Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1975

Government Reports Announcements Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Science categories.