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Vorticity and Incompressible Flow

Vorticity and Incompressible Flow by Andrew J. Majda
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This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Cambridge University Press; November 2001
559 pages; ISBN 9780511035715
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Title: Vorticity and Incompressible Flow
Author: Andrew J. Majda; Andrea L. Bertozzi