Fluid Mechanics: A Geometrical Point of View

Fluid Mechanics: A Geometrical Point of View

by S. G. Rajeev

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Product Details

ISBN-13: 9780198805038
Publisher: Oxford University Press
Publication date: 10/30/2018
Pages: 272
Sales rank: 1,293,217
Product dimensions: 9.60(w) x 6.70(h) x 0.60(d)

About the Author

S. G. Rajeev, Professor of Physics and Mathematics, University of Rochester

S. G. Rajeev was born in Trivandrum, India. He has a B.Sc. degree from the University of Kerala and a Ph. D. from Syracuse University. After a stint as a Postdoctoral Fellow at MIT, he has been on the faculty at the University of Rochester, where he is a Professor of Physics and of Mathematics. He has done research on several topics in high energy physics and quantum gravity: soliton models for hadrons, string theory, renormalization, quantum field theory, and Yang-Mills theories — but fluid mechanics was his first love.

Table of Contents

1. Vector Fields
2. Euler's Equations
3. The Navier-Stokes Equations
4. Ideal Fluid Flows
5. Viscous Flows
6. Shocks
7. Boundary Layers
8. Instabilities
9. Integrable Models
10. Hamiltonian Systems Based on a Lie Algebra
11. Curvature and Instability
12. Singularities
13. Spectral Methods
14. Finite Difference Methods
15. Geometric Integrators

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