A stability theorem for energy-balance climate models
The paper treats the stability of steady-state solutions of some simple, latitude-dependent, energy-balance climate models. For north-south symmetric solutions of models with an ice-cap-type albedo feedback, and for the sum of horizontal transport and infrared radiation given by a linear operator, i...
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ftnasantrs:oai:casi.ntrs.nasa.gov:19790063665 2023-05-15T16:38:11+02:00 A stability theorem for energy-balance climate models Cahalan, R. F. North, G. R. Unclassified, Unlimited, Publicly available Jul 1, 1979 http://ntrs.nasa.gov/search.jsp?R=19790063665 unknown http://ntrs.nasa.gov/search.jsp?R=19790063665 Accession ID: 79A47678 Copyright Other Sources 47 Journal of the Atmospheric Sciences; 36; July 197 1979 ftnasantrs 2012-02-15T13:56:17Z The paper treats the stability of steady-state solutions of some simple, latitude-dependent, energy-balance climate models. For north-south symmetric solutions of models with an ice-cap-type albedo feedback, and for the sum of horizontal transport and infrared radiation given by a linear operator, it is possible to prove a 'slope stability' theorem, i.e., if the local slope of the steady-state iceline latitude versus solar constant curve is positive (negative) the steady-state solution is stable (unstable). Certain rather weak restrictions on the albedo function and on the heat transport are required for the proof, and their physical basis is discussed. Other/Unknown Material Ice cap NASA Technical Reports Server (NTRS) |
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NASA Technical Reports Server (NTRS) |
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47 |
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47 Cahalan, R. F. North, G. R. A stability theorem for energy-balance climate models |
topic_facet |
47 |
description |
The paper treats the stability of steady-state solutions of some simple, latitude-dependent, energy-balance climate models. For north-south symmetric solutions of models with an ice-cap-type albedo feedback, and for the sum of horizontal transport and infrared radiation given by a linear operator, it is possible to prove a 'slope stability' theorem, i.e., if the local slope of the steady-state iceline latitude versus solar constant curve is positive (negative) the steady-state solution is stable (unstable). Certain rather weak restrictions on the albedo function and on the heat transport are required for the proof, and their physical basis is discussed. |
format |
Other/Unknown Material |
author |
Cahalan, R. F. North, G. R. |
author_facet |
Cahalan, R. F. North, G. R. |
author_sort |
Cahalan, R. F. |
title |
A stability theorem for energy-balance climate models |
title_short |
A stability theorem for energy-balance climate models |
title_full |
A stability theorem for energy-balance climate models |
title_fullStr |
A stability theorem for energy-balance climate models |
title_full_unstemmed |
A stability theorem for energy-balance climate models |
title_sort |
stability theorem for energy-balance climate models |
publishDate |
1979 |
url |
http://ntrs.nasa.gov/search.jsp?R=19790063665 |
op_coverage |
Unclassified, Unlimited, Publicly available |
genre |
Ice cap |
genre_facet |
Ice cap |
op_source |
Other Sources |
op_relation |
http://ntrs.nasa.gov/search.jsp?R=19790063665 Accession ID: 79A47678 |
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Copyright |
_version_ |
1766028467561824256 |