Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms

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.