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FIMXII-SCMA2005@AUBURN, Twelfth Annual International Conference on Statistics, Combinatorics, Mathematics and Applications
December 2-4, 2005
Auburn University
Auburn, Alabama, USA |
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Forum for Interdisciplinary Mathematics
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Energy Balance Climate Models
by
Georg Hetzer
Department of Mathematics & Statistics, Auburn University, AL 36849-5310
Energy Balance Climate Models are diagnostic models
used for analyzing long-term issues such as the glacial-interglacial
cycles. The key variable is, say, a ten-year mean of temperature u
which is determined from the balance equation of energy. A first
realization of this idea yields a reaction-diffusion equation
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c(x)¶t u(t, x)-Ñx·[k(x)Ñx u(t, x)] = Q(t, x)b(x, u(t, x))-s(u(t, x))| u(t, x)|3u(t, x) |
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on the sphere S2. The heat capacity c, the
diffusivity k, the seasonally averaged solar radiation flux Q,
the co-albedo b, and the infrared opacity s are all
positive, bounded functions. Extensions of this basic model lead to
equations/systems with memory terms and/or hysteresis. The talk will
address recent results and suggest some open questions for future
research.
PDF
Date received: October 11, 2005
Copyright © 2005 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # carm-49.