Theoretical and computational fluid mechanics : existence, blowup and discrete exterior calculus problems. Volume II /
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 t...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
Chapman and Hall/CRC,
2025.
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| Series: | Chapman & Hall/CRC numerical analysis and scientific computing.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Physical Description: | 1 online resource (536 pages) : illustrations (black and white). |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781040684290 1040684297 9781003601494 1003601499 9781040540329 1040540325 |