Written at graduate level, this 2006 book provides the first detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics, of interest not only to applied mathematicians but also oceanographers, meteorologists, mechanical engineers, astrophysicists and indeed all investigators of the dynamics of fluids.
Written at graduate level, this 2006 book provides the first detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics, of interest not only to applied mathematicians but also oceanographers, meteorologists, mechanical engineers, astrophysicists and indeed all investigators of the dynamics of fluids.
Andrew Bennett is Professor at the College of Oceanic and Atmospheric Sciences, Oregon State University.
Inhaltsangabe
Part I. The Lagrangian Formulation: 1. Lagrangian kinematics 2. Lagrangian statistics 3. Lagrangian dynamics 4. Coordinates 5. Real fluids Part II. Lagrangian Flows: 6. Some analytical Lagrangian solutions 7. Waves, instabilities and vortices 8. Viscous incompressible flow 9. General solvability Part III. Diffusion: 10. Absolute dispersion 11. Relative dispersion 12. Convective subranges, scalar variance spectrum 13. Diffusion Part IV. Lagrangian Data: 14. Observing systems 15. Data analysis: the single particle 16. Data analysis: particle clusters References.
Part I. The Lagrangian Formulation: 1. Lagrangian kinematics 2. Lagrangian statistics 3. Lagrangian dynamics 4. Coordinates 5. Real fluids Part II. Lagrangian Flows: 6. Some analytical Lagrangian solutions 7. Waves, instabilities and vortices 8. Viscous incompressible flow 9. General solvability Part III. Diffusion: 10. Absolute dispersion 11. Relative dispersion 12. Convective subranges, scalar variance spectrum 13. Diffusion Part IV. Lagrangian Data: 14. Observing systems 15. Data analysis: the single particle 16. Data analysis: particle clusters References.
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