Preface; Part I. Fluid Dynamics and Waves: 1. Elements of fluid dynamics; 2. Linear waves; 3. Geometric wave theory; 4. Dispersive waves and ray tracing; Part II. Wave-Mean Interaction Theory: 5. Zonally symmetric wave-mean interaction theory; 6. Internal gravity waves; 7. Shear flows; 8. Three-dimensional rotating flow; 9. Rossby waves and balanced dynamics; 10. Lagrangian-mean theory; 11. Zonally symmetric GLM theory; Part III. Waves and Vortices: 12. A framework for local interactions; 13. Wave-driven vortex dynamics on beaches; 14. Wave refraction by vortices; References; Index.
A fundamental reference for graduate students and researchers in fluid mechanics. Now revised throughout, it also includes exercises.
Oliver Bühler is a Professor of Mathematics and Atmosphere Ocean Science at the Courant Institute of Mathematical Sciences, New York University.
Review of the first edition: 'Its approach is systematic, building
surely and steadily from the simplest examples to the most
far-reaching generalizations, and it should therefore suit graduate
students and mature researchers alike. And on top of that, it's fun
to read! The style is witty and occasionally quirky, but adds up to
an almost miraculous combination of succinctness and explicitness.'
M. E. Young, Journal of Fluid Mechanics
Review of the first edition: 'Bühler's well-organized textbook is
excellent in all the most important ways. The author is well known
in the field for applications of the GLM formulation to real-world
problems, and his book will likely become the authoritative
resource on the subject. Waves and Mean Flows presents its readers
with a clearly written text that is comfortable to read. As a
logically laid-out, internally consistent, and self-contained work,
it will be useful both as a textbook and as a handy reference for
researchers.' Steve K. Lamoreaux, Physics Today
Review of the first edition: 'For anyone wishing to work seriously
with the GLM approach, Waves and Mean Flows is indispensable.'
Physics Today
Review of the first edition: '… this text is, to my knowledge, the
best existing source for a comprehensive introduction to the GLM
theory. Many important concepts, such as the development of
Lagrangian-mean divergence in divergence-free Eulerian flows, are
explained with clarity, often through the use of elegant examples …
Its intentionally provocative deviation from habitual Eulerian-mean
thinking is certain to prove valuable and stimulating, and will no
doubt have the desired long-term mean effect of raising the
scientific community's conceptual center of gravity in this
important field of inquiry.' Bulletin of the American
Meteorological Society
Review of the first edition: 'The book is written in a very
unpretentious, direct style. This book is an excellent investment
for atmospheric and oceanic dynamicists and many environmental and
mechanical engineers. Applied mathematicians who want to understand
geophysical waves deeply and/or ray tracing will like this book,
too.' SIAM Review
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