The Mathematics of Models for Climatology and Environment

1. Front Matter

   Pages I-XVI

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2. General Models

   1. Front Matter

      Pages 1-1

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   2. Mathematical modelling and optimal control methods in water pollution

      • Alfredo Bermúdez

      Pages 3-37

   3. Some mathematical problems associated with the development and use of marine models

      • Eric Deleersnijder, Jean-Marie Beckers, Jean-Michel Campin, Mohammed El Mohajir, Thierry Fichefet, Patrick Luyten

      Pages 39-86

   4. Modeling surface processes in climate system models

      • Filippo Giorgi

      Pages 87-133

   5. Analysis of some oceanography physics problems by the Galerkin’s method

      • Pierre Orenga, François Joseph Chatelon, Charles Fluixa

      Pages 135-180

   6. Inertial manifolds and slow manifolds

      • Roger Temam

      Pages 181-214

3. General Models: Energy Balance Models

   1. Front Matter

      Pages 215-215

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   2. On the mathematical treatment of energy balance climate models

      • Jesús Ildefonso Díaz

      Pages 217-251

   3. S-shapedness for energy balance climate models of Sellers-Type

      • Georg Hetzer

      Pages 253-287

   4. Small ice caps in climate models

      • Gerald R. North, Kwang-Yul Kin, Wan-Ho Lee

      Pages 289-297

4. General Models: Some problems in Climatology

   1. Front Matter

      Pages 299-299

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   2. Glaciers and ice sheets

      • A. C. Fowler

      Pages 301-336

   3. Some free boundary problems in theorical glaciology

      • José Francisco Rodrigues, Lisa Santos

      Pages 337-364

5. Local Problems

   1. Front Matter

      Pages 365-365

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   2. A Multi-Layer Shallow-Water Model. Applications to the Strait of Gibraltar and the Alboran Sea

      • M. J. Castro, J. Macías, C. Parés

      Pages 367-394

   3. Interannual variability simulated in the Tropical Pacific

      • Jorge Macías, David Stephenson, Laurent Terray, Sophie Belamari

      Pages 395-408

   4. Climate, mathematics, and the Canary Islands

      • José M. Pacheco, N. Hayek

      Pages 409-418

   5. Heat Gain in the Eastern North Atlantic Subtropical Gyre

      • J. L. Pelegrí, P. Sangrà, A. Hernández-Guerra

      Pages 419-436

   6. One back-trajectories model in describing a flow climatology in Canary Islands

      • P. Sancho

      Pages 437-447

This book is the culmination of the NATO Advanced Study Institute on The Mathematics of Models for Climatology and Environment which was held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995. One of the main goals of the ASI was to establish a bridge between mathematical modellers on the one hand and physical oceanographers and climatologists on the other. The book is divided into fourth parts containing a total of 16 chapters: Parts I, II and III are devoted to general models and Part IV to models related to some local problems. Most of the mathematical models here considered involve systems of nonlinear partial differential equations. The mathemat­ ical treatment cover a large list of subjects: existence and uniqueness for well-possed problems, large time behaviour, stability, bifurcation,diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and its implementation, controllability of the problems, etc. I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their guidance and collaboration as co-directors of the AS!. I also thank J.F.Padial and G. Diaz for their help in the planning and conduct of the ASI as well as in the preparation of this book.

• Angewandte Mathematik
• Climatology
• Klima
• Klimatologie
• Modellierung
• Umweltwissenschaften
• algorithms
• applied mathematics
• environmental science
• modelling

• Dpto. de Matemática Aplicada, Fac. Matemáticas, Universidad Complutense de Madrid, Madrid, Spain

  Jesús Ildefonso Díaz

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