Mathematics of Climate Modeling (Modeling and Simulation in Science, Engineering and Technology) - Hardcover

Dymnikov, Valentin P.; Filatov, Aleksander N.

Hardcover

ISBN 10: 0817639152 ISBN 13: 9780817639150

Publisher: Birkhäuser, 1997

Synopsis

The present monograph is dedicated to a new branch of the theory of climate, which is titled by the authors, "Mathematical Theory of Climate. " The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa­ tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda­ tions of Wayne Yuhasz (we are truly grateful to him for this advice), we named the English edition of the book "Mathematics of Climate Modelling. " This title appears to be more appropriate, since the con­ structive results of the theory are at present preliminary and have not been fully tested with experiments in climate modelling. This branch of science is yet developing and its practical results will be obtained only in the near future. Nevertheless, we want to keep the terminology which we have used in the introduction to the Russian edition of the book, since the authors hope that this term will be accepted by the scientific community for identification of a given branch of climate theory. On preparing the English edition, new ideas were established con­ necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourage­ ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.

About this title

Synopsis

Providing an introduction to a branch of climate theory - the study of climate by means of the quality theory of partial differential equations, this text is oriented towards specialists and graduates in geophysical hydrodynamics and climate modelling. The first part of the book concentrates on current theory of infinite-dimensional and finite-dimensional nonlinear dissipative systems. Section two of the text contains the results of analysis of climate models of different complexity from barotropic models to models based on the full system of hydrothermodynamics equations.

Edition details

• Publisher: Birkhäuser
• Publication date: 1997
• Language: English
• ISBN 10: 0817639152
• ISBN 13: 9780817639150
• Binding: Hardcover
• Number of pages: 280