Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems,...

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Terry E. Moschandreou Keith Afas

Theoretical and Computational Fluid Mechanics

Existence, Blowup and Discrete Exterior Calculus Problems, Volume II

Terry E. Moschandreou, Keith Afas, Khoa Nguyen , Konstantinos Kyritsis

$301.95 $241.92

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English

Chapman & Hall/CRC
24 December 2025

Numerical analysis; Applied mathematics; Fluid mechanics; Computing: general; Computer science

Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in providing a comprehensive introduction to the mathematical theory of incompressible flows, with a focus on the foundational structures, analytical techniques, and open problems associated with the Navier-Stokes equations. In this volume, emphasis is placed on the interplay between geometry, functional analysis, and partial differential equations that underpins much of modern fluid theory. As a reference or teaching supplement, the book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding. The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data.

Features

Offers a self-contained treatment that does not require a previous background in fluid dynamics

Suitable as a reference text for graduate students, researchers, and professionals, and could easily be used as a teaching resource

Provides various examples using Maple, Mathematica, and to a lesser extent MATLAB® programming languages.

By: Terry E. Moschandreou, Keith Afas, Khoa Nguyen, Konstantinos Kyritsis
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
ISBN: 9781032989310
ISBN 10: 1032989319
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Pages: 523
Publication Date: 24 December 2025
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Forthcoming

Terry E. Moschandreou has taught mathematics at the University of Western Ontario in the School of Mathematical and Statistical Sciences where he worked for several years. He received his PhD degree in Applied Mathematics from the University of Western Ontario in 1996. Keith Afas is a graduate researcher at the University of Western Ontario (UWO), who has been engaged in applied mathematics and mathematical modelling research since 2014, leading to multiple first-author and co-author publications, posters, conference presentations, and book chapters in a variety of topics. Khoa Nguyen has taught applied mathematics at Western University at London, Ontario, Canada since 2001 to present. Most of his students are engineering and science students. His interests are varying from physics to engineering, mathematics, and applications of mathematics to these fields. He has had two publications on Physical Review D with his collaborators and a book on numerical methods in C and Matlab with his colleague. He has a wife and two sons. They live in London, Ontario, Canada. Konstantinos E. Kyritsis is an associate professor at the University of Ioannina, Greece, affiliated with the School of Economics. Born in 1959 in Greece, he received his PhD in mathematics from the University of Athens in Greece, and he has worked at various other universities, like the University of Portsmouth in the UK. He has contributed to interdisciplinary research encompassing fields such as mathematics, physics, computer science, economics, philosophy, psychology, and music. He has proposed a solution for the 4th millennium problem about the Navier-Stokes equations and has applied the Navier-Stokes equations in understanding the renewable energy discovered by N. Tesla almost one century ago.