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

By Khoa Nguyen, Keith Afas, Terry E. Moschandreou

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 as-sociated 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.

• Format: Hardcover
• Language: English
• ISBN: 1032989319
• ISBN13: 9781032989310
• Release Date: December 2025
• Publisher: CRC Press
• Length: 536 Pages