Theoretical and Computational Fluid Mechanics

Existence, Blowup and Discrete Exterior Calculus Problems, Volume II

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

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Hardcover | 23 December 2025 | Edition Number 1

At a Glance

Hardcover
554 Pages

Dimensions(cm)
23.4 x 15.6 x 3.02

Hardcover

RRP $252.00

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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.

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