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Fluid Mechanics : A Geometrical Point of View S. G. Rajeev.

By: Contributor(s): Material type: TextTextPublication details: Oxford Oxford University Press 2019Description: xv, 250 pages : illustrations ; 25 cmISBN:
  • 9780198805021
  • 0198805020
  • 0198805039
  • 9780198805038
Subject(s): DDC classification:
  • 532 RAJ
LOC classification:
  • QA901 .R35 2018
Contents:
Vector fields -- Euler's equations -- The Navier-Stokes equations -- Ideal fluid flows -- Viscous flows -- Shocks -- Boundary layers -- Instabilities -- Integrable models -- Hamiltonian systems based on a lie algebra -- Curvature and instability -- Singularities -- Spectral methods -- Finite difference methods -- Geometric integrators
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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Includes bibliographical references (pages [245]-247) and index.

Vector fields -- Euler's equations -- The Navier-Stokes equations -- Ideal fluid flows -- Viscous flows -- Shocks -- Boundary layers -- Instabilities -- Integrable models -- Hamiltonian systems based on a lie algebra -- Curvature and instability -- Singularities -- Spectral methods -- Finite difference methods -- Geometric integrators

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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