1. 2.Waves and Mean Flows

Second edition in paperback to appear April 2014!!

Appeared first in summer 2009 in the series Cambridge Monographs on Mechanics,

Cambridge University Press.

Sneak preview:  table of contents.

1. A Brief Introduction to Classical, Statistical, and Quantum Mechanics

Courant Lecture Notes Series vol. 13, American Mathematical Society, 2006.

(amazon, AMS)



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42. Thomas, J., Smith, K.S., Bühler, O., 2017

Near-inertial wave dispersion by geostrophic flows

Journal of Fluid Mechanics, 817, 406-438

41. Bühler, O., Kuang, M., Tabak, E., 2017

Anisotropic Helmholtz and wave-vortex decomposition of one-dimensional ship-track data.

Journal of Fluid Mechanics, 815, 361-387

40. Callies, J., Bühler, O., Ferrari, R. 2016

The dynamics of mesoscale winds in the upper troposphere and lower stratosphere

Journal of the Atmospheric Sciences, 73, 12 ,4853-4872

39. Walsh, S., Bühler, O., Shatah, J., Walsh, S., Zeng, C., 2016

On the wind generation of water waves

Archive for Rational Mechanics and  Analysis,   222: 827-878

38. Bühler, O., Guo, Y., 2016

Particle dispersion by nonlinearly damped random waves

Journal of Fluid Mechanics, 786, 332-347

37. Wei, C., Bühler, O., Tabak, E., 2015

Evolution of Tsunami-induced internal acoustic-gravity waves

Journal of the Atmospheric Sciences, 72, 2303-2317

36. Danioux, E., Vanneste, J., Bühler, O., 2015

On the concentration of near-inertial waves in anti-cyclones.

Journal of Fluid Mechanics, 773, R2

35. Cohen, N., Gerber, E., Bühler, O., 2014

What drives the Brewer-Dobson circulation?

Journal of the Atmospheric Sciences, 71, 10, 3837-3855

34. Callies, J., Ferrari, R., Bühler, O., 2014

Transition from geostrophic turbulence to inertia-gravity waves in

the atmospheric energy spectrum.

Proc. Nat. Acad. Sciences, 111.48 (2014): 17033-17038

33. Bühler, O., Callies, J., Ferrari, R., 2014

Wave-vortex decomposition of one-dimensional ship-track data.

Journal of Fluid Mechanics, 756, 1007-1026.

32. Guo, Y., Bühler, O., 2014

Wave-vortex interactions in the nonlinear Schrödinger equation

Physics of Fluids, 26, 027105

31. Bühler, O., 2014

A gentle stroll through EP flux theory

European Journal of Mechanics - B/Fluids, 47, 12-15

30. Cohen, N., Gerber, E., Bühler, O., 2013

Compensation between resolved and unresolved wave driving in the stratosphere: implications for downward control

Journal of the Atmospheric Sciences, 70, 12, 3780-3798

29. Walsh, S., Bühler, O., Shatah, J., 2013

Steady water waves in the presence of wind

SIAM Journal on Mathematical Analysis, 45, 4, 2182-2227

28. Bühler, O., Grisouard, N., Holmes–Cerfon, M., 2013

Strong particle dispersion by weakly dissipative random internal waves.

Journal of Fluid Mechanics, 719, R4

27. Grisouard, N., Bühler, O.,  2012.

Forcing of oceanic mean flows by dissipating internal tides

Journal of Fluid Mechanics, 708, 250-278

  1. 26.Vanneste, J., Bühler, O.,  2011.

Streaming by leaky surface acoustic waves

Proc. Royal Society A, 467, 1179-1800

25. Bühler, O., Holmes–Cerfon, M.,  2011

Decay of an internal tide due to random topography in the ocean.

Journal of Fluid Mechanics, 678, 271-293.

24. Holmes–Cerfon, M., Bühler, O., Ferrari, R., 2011

Particle dispersion by random waves in the rotating Boussinesq system.

Journal of Fluid Mechanics, 670, 150-175

23. Bühler, O, 2010

Wave-vortex interactions in fluids and superfluids

Annual Review of Fluid Mechanics, 42, 205-228.

22. Bühler, O., Holmes–Cerfon, M.,  2009

Particle dispersion by random waves in rotating shallow water.

Journal of Fluid Mechanics, 638, 5-26.

21. Muller, C., Bühler, O., 2009

Saturation of the internal tides and induced mixing in the abyssal ocean.

Journal of Physical Oceanography, 39, 2077-2096.

20. Barreiro, A., Bühler, O., 2008

Longshore current dislocation on barred beaches.

Journal of Geophysical Research - Oceans, 113, C12004.

19. Bühler, O, 2008

Wave-vortex interactions.

Fronts, waves and vortices in geophysics, ed. J.B. Flor, Springer,

Lecture notes in physics, in press

18. Hasha, A., Bühler, O., & Scinocca, J.F, 2008

Gravity wave refraction by three-dimensionally varying winds and the global transport of angular momentum.

Journal of the Atmospheric Sciences, 65, 2892-2906.

17. Bühler, O., Muller, C., 2007

Instability and focusing of internal tides in the deep ocean.

Journal of Fluid Mechanics, 588, 1-28.

16. Bühler, O. 2007

Large deviation theory and extreme waves file

`Aha Huliko`a proceedings 2007

15. Oliver, M., Bühler, O., 2007

Transparent boundary conditions as dissipative subgrid closures for the spectral representation of scalar advection by shear flows.

Journal of Mathematical Physics, 48, 065502, 26pp.

14. Bühler, O., 2007

Impulsive fluid forcing and water strider locomotion.

Journal of Fluid Mechanics, 573, 211-236

13. Bühler, O., McIntyre, M. E., 2005

Wave capture and wave–vortex duality.

Journal of Fluid Mechanics, 534, 67-95.

12. Bühler, O., 2005

Wave-mean interaction theory

Nonlinear Waves in Fluids, ed. R. Grimshaw, Springer CISM 483,  95-133

11. Bühler, O., McIntyre, M. E., 2003

Remote recoil: a new wave–mean interaction effect.

Journal of Fluid Mechanics, 492, 207-230.

10. Bühler, O., 2003

Equatorward propagation of inertia–gravity waves due to steady and intermittent sources.

Journal of the Atmospheric Sciences, 60, 1410-1419.

9. Bühler, O., 2002

Statistical mechanics of strong and weak point vortices in a cylinder.

Physics of Fluids, 14, 2139-2149. animations

8. Bühler, O., Jacobson, T. E., 2001

Wave-driven currents and vortex dynamics on barred beaches.

Journal of Fluid Mechanics, 449, 313-339.

7. Bühler, O., 2000

On the vorticity transport due to dissipating or breaking waves in shallow-water flow.

Journal of Fluid Mechanics, 407, 235-263.

6. Bühler, O., McIntyre, M. E., 1999

On shear-generated gravity waves that reach the mesosphere.

Part ii: wave propagation

Journal of the Atmospheric Sciences, 56, 3764-3773.

T5. Bühler, O., McIntyre, M. E., & Scinocca, J. F., 1999

On shear-generated gravity waves that reach the mesosphere.

Part i: wave generation

Journal of the Atmospheric Sciences, 56, 3749-3763.

4. Bühler, O. Haynes P.H., 1999

Constraints on the mean mass transport across potential vorticity contours.

Journal of the Atmospheric Sciences, 56, 942-947.

3. Mo, R., Bühler, O., & McIntyre, M. E., 1998

Permeability of the stratospheric vortex edge: on the mean mass flux due to thermally dissipating, steady, non-breaking Rossby waves.

Quarterly Journal of the Royal Meteorological Society, 124, 2129-2148.

2. Bühler, O., McIntyre, M. E., 1998

On non-dissipative wave–mean interactions in the atmosphere or oceans.

Journal of Fluid Mechanics, 354, 301-343.

1. Bühler, O., 1998

A shallow-water model that prevents nonlinear steepening of gravity waves.

Journal of the Atmospheric Sciences, 55, 2884-2891.


2. PhD, 1996 (supervised by Prof. Michael E. McIntyre):

Waves and Balanced Mean Flows in the Atmosphere.

180pages. Cambridge University.

1. Diplom, 1992 (supervised by Prof. Ingo Müller):

Randbedingungen in verdünnten Gasen. Einfluß von Inertialkräften auf Spannung und Wärmefluß.

(Boundary Conditions in Rarefied Gases. Influence of Inertial Forces on Stress and Heat flux.)

76pages. Technische Universität Berlin.


Provides between two covers a rapid introduction to particle mechanics, dispersive waves, statistical mechanics, and elementary quantum mechanics aimed at advanced undergraduates and beginning graduate students. Focuses on mathematical techniques (e.g. Hamilton–Jacobi theory and path integrals) that provide links between seemingly unrelated material.