The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.

Phenomena of convection are abundant in nature as well as in industry. This volume addresses the subject of convection from the point of view of both, theory and application. While the first three chapters provide a refresher on fluid dynamics and heat transfer theory, the rest of the book describes the modern developments in theory. Thus it brings the reader to the "front" of the modern research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Auteur

Victor K. Andreev, Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia; Yuri A. Gaponenko, Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia; Olga N. Goncharova, Altai State University, Barnaul, Russia; and Vladislav V. Pukhnachev, Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia.

Résumé

"This book presents a careful and detailed introduction to the modern mathematical models of convection. [...] In the reviewer's opinion, this book provides a fundamental and comprehensive presentation of the mathematical and physical theory of fluid flows in non-classical models of convection, pointing out the most important practical applications. The book is excellently written and readable. Results of numerical solutions are given graphically and in tabular form. The book will be of great interest to a wide range of specialists working in the area of convection. It can be also recommended as a text for seminars and courses, as well as for independent study." Zentralblatt für Mathematik