Rendiconti della Scuola internazionale di fisica "Enrico Fermi."

Front Cover
A. R. Osborne
North-Holland, 1991 - Hydrodynamics - 996 pages

Contents

The partition between vortices and turbulent cascade
33
Limitations on the occurrence of vortices in turbulence
39
Introduction
40
Concluding remarks
48
Kortewegde
66
Theory
73
Equatorial modons
76
the nonlinear Schrödinger
82
Summary
541
H PEREGRINE Nonlinear wave refraction
557
SHEMER and M STIASSNIE The Zakharov and modified Zakharov
581
Interaction of two wave trains
592
Longtime evolution of Stokes waves
601
YUEN Numerical experiments on chaos and order in the long
621
Effects of number of stable modes
627
STIASSNIE The fractal dimension of the ocean surface
633

Continuous stratification
92
Rodon special case
107
Numerical solutions
114
Discussion
127
FARGE Nonlinear dynamics of inertiogravity waves
133
Introduction
175
The QG1 experiment
211
Experiments with the forced and dissipative quasigeostrophic equa
217
J SOMMERIA S D MEYERS and HARRY L SWINNEY Experiments
227
Instabilities and Rossby waves in eastward jets
238
The Great Red Spot and other Jovian vortices
253
Earlier laboratory models of Jovian spots
258
Concluding remarks
266
P F LINDEN Dynamics of fronts and eddies
311
A BRANDSTATER and HARRY L SWINNEY Chaotic CouetteTaylor
353
Quantifying chaos
361
A PROVENZALE A R OSBORNE A D KIRWAN jr and L
367
Monofractal properties of drifter trajectories
374
Multifractal nature of drifter trajectories
385
Deterministic vs stochastic models
396
J KLEIN and W A SEITZ Directed selfinteracting selfavoiding
403
Transfer matrix eigenproblem
410
Introduction
417
PART II
420
PART III
432
G PEGGION A variational method for determining absolute velocities
439
Applications
446
Conclusion
452
H C YUEN Recent advances in nonlinear water waves
461
Weakly nonlinear waves in two space dimensions
478
Spectral description of water waves
484
A new type of threedimensional instability
494
J P BOYD Weakly nonlocal solitary waves
527
LEVI Nonlinear internal solitary waves in straits with varying
649
Solution technique for the perturbed KdV equation
659
A R OSBORNE Nonlinear Fourier analysis
669
the Fourier transform
701
The spectral transform in 1 + 1 dimensions
709
The spectral transform 2 + 1 dimensions
733
APPENDIX A The RH problem
757
E R TRACY J W LARSON A R OSBORNE and L BERGAMASCO
769
Periodic spectral theory for the KortewegdeVries equation 782
782
Periodic spectral theory for the defocusing nonlinear Schrödinger
788
144
809
spatially periodic
827
The spectraltransform method of Osborne and Bergamasco
833
Stokes expansions
840
The physical representation modular transforms and frames
846
The regularized longwave RLW equation
853
Introduction
875
Twodimensional internal solitary waves in the Alboran Sea
881
On the importance of 2D spreading effects
887
Summary of KP theory
893
Presentation and discussion of results
904
318
909
Epilogue
913
Potential physical mechanisms
921
CAVALERI WAM a thirdgeneration wave model
925
CAVALERI WAM application to the Mediterranean Seathe
945
WAM implementations in the whole Mediterranean Sea
957
Conclusions
967
RIT and ripples
973
Review of previous experiments on ripple triads
979
Resonanttriad selection
986
Epilogue
994
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