Moschandreou T Theoretical and Computational Fluid Mechanics Existence, 2024
General:
Name: Moschandreou T Theoretical and Computational Fluid Mechanics Existence, 2024
Format: pdf
Size: 9.9 MB
Book:
Title: Theoretical and Computational Fluid Mechanics; Existence, Blow-up, and Discrete Exterior Calculus Algorithms
Author: Terry Moschandreou
Language: angielski
Year: 2025
Subjects: N/A
Publisher: CRC Press
ISBN: 9781040684290
Total pages: 339
Description:
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.
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