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Fluid mechanics : a geometrical point of view

Author: S G Rajeev
Publisher: Oxford : Oxford University Press, 2018.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This book emphasizes general principles of physics illustrated by simple examples in fluid mechanics. Advanced mathematics (e.g., Riemannian geometry and Lie groups) commonly used in other parts of theoretical physics (e.g. General Relativity or High Energy Physics) are explained and applied to Fluid Mechanics.
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Additional Physical Format: Fluid Mechanics : A Geometrical Point of View / S. G. Rajeev
Oxford : Oxford University Press, 2018
978-0-19-184313-6
(ABES)231652453
Document Type: Book
All Authors / Contributors: S G Rajeev
ISBN: 9780198805021 0198805020 9780198805038 0198805039
OCLC Number: 1076574052
Description: 1 vol. (xv-272 p.) ; 249 mm.
Contents: 1: Vector Fields2: Euler's Equations3: The Navier-Stokes Equations4: Ideal Fluid Flows5: Viscous Flows6: Shocks7: Boundary Layers8: Instabilities9: Integrable Models10: Hamiltonian Systems Based on a Lie Algebra11: Curvature and Instability12: Singularities13: Spectral Methods14: Finite Difference Methods15: Geometric Integrators
Responsibility: S. G. Rajeev.

Abstract:

This book emphasizes general principles of physics illustrated by simple examples in fluid mechanics. Advanced mathematics (e.g., Riemannian geometry and Lie groups) commonly used in other parts of  Read more...

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Suitable for graduate students in mathematics and physics, this book would serve any student well who is looking for a survey of the field of fluid mechanics or a rigorous review of mathematical Read more...

 
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