[ ocean ]
You can jump to a specific alphabetical section, browse a list of titles from Y to Z, or browse the full listing from Y to Z.
Author = "Yang, Huijun"
Title = "Wave Packets and Their Bifurcations in Geophysical Fluid
Dynamics"
Publisher = "Springer-Verlag, New York"
Year = "1991"
Pages = "247"
LOC = "QC 809 F5 Y26 1991"
ISBN = "0-387-97257-9"
Table of contents:
1. Introduction 1,
1.1 The nature of geophysical fluids and geophysical
fluid dynamics 1,
1.2 The basic equations 1,
1.3 Approximations to the system 3,
1.4 Closure 7,
2. The wave packet theory 9,
2.1 Introduction 9,
2.2 The wave packet representation for an arbitrary
disturbance system 10,
2.3 The asymptotic solution for the wave equation 16,
2.4 The WKB method 22,
2.5 General theory 24,
2.6 The general wave-action equation in the GLM
description: Andrews and McIntyre's theory 38,
3. Evolution of the wave packet in barotropic flow 49,
3.1 Introduction 49,
3.2 The inviscid, shallow-water model and potential
vorticity equation 49,
3.3 Equations governing the evolution of a Rossby wave
packet 54,
3.4 Integral properties of wave packets: Barotropic
instability theorems 57,
3.5 Structural change of a Rossby wave packet 62,
3.6 Two examples and a simple explanation 73,
3.7 Conclusions 76,
4. Global behavior: the wave packet structural vacillation 83,
4.1 Introduction 83,
4.2 Behavior due to the basic flows on the earth's
beta-plane 84,
4.3 Behavior due to the basic flow on the earth's
delta-effect 93,
4.4 Effect of the topography 102,
4.5 Conclusions 105,
5. Change in global behavior: bifurcation 111,
5.1 Introduction 111,
5.2 Basic theory of the dynamic system 112,
5.3 Bifurcation properties of wave packets on symmetric
topography 126,
5.4 Bifurcation properties of wave packets on asymmetric
topography 136,
5.5 Trajectories in the WKB phase space 142,
5.6 Summary and remarks 146,
6. Secondary bifurcation 153,
6.1 Introduction 153,
6.2 Secondary and cascading bifurcation theory 153,
6.3 Primary bifurcation 155,
6.4 Secondary bifurcation 159,
6.5 Various trajectories in the WKB phase space: Three
kinds of wave packet structural vacillation 166,
6.6 Conclusions 176,
7. Evolution of wave packets in stratified baroclinic
basic flow 181,
7.1 Introduction 181,
7.2 The vorticity equation and Ertel theorem 181,
7.3 The potential vorticity equation 184,
7.4 The equations governing amplitude and structure 187,
7.5 Integral properties and instability theorems 190,
7.6 The structures of the developing and decaying wave
packet 192,
7.7 Structure changes and bifurcations 197,
7.8 Closure 211,
8. Wave packets and teleconnections 215,
8.1 Introduction 215,
8.2 Teleconnections and the stationary forcing wave
packet 216,
8.3 Wave packet propagation in zonal flow 220,
8.4 Wave packet propagation in asymmetric basic flow 228,
8.5 Discussion 233,
Author index 237,
Subject index 241 " }
Author = "Yih, Chia-Shun"
Title = "Stratified Flows"
Publisher = "Academic Press, N.Y."
Year = "1980"
Pages = "418"
LOC = "QC 153 Y53 1980"
Table of contents:
1. Preliminaries 1,
2. Waves of small amplitude 19,
3. Steady flows of finite amplitude 103,
4. Hydrodynamic stability 219,
5. Flows in porous media 276,
6. Analogy between gravitation and acceleration 324,
7. Analogy between gravitational and electromagnetic
forces 359,
Bibliography 379,
Index 415 " }
Author = "Zenkevitch, L."
Title = "Biology ofthe Seas of the U.S.S.R."
Publisher = "Wiley Interscience"
Year = "1963"
Pages = "920"
LOC = "QH 91 Z363"
Table of contents:
The northern seas of the U.S.S.R.
1. General characteristics of the northern seas
2. The Barents Sea
3. The White Sea
4. The Kara Sea
5. The Laptev Sea
6. The Chukotsk Sea
7. The Baltic Sea
The southern seas of the U.S.S.R.
8. General characteristics and geological history
9. The Black Sea
10. The Sea of Azov
11. The Caspian Sea
12. The Aral Sea
The far eastern seas of the U.S.S.R.
13. General characteristics of far eastern seas and of
adjacent parts of Pacific Ocean
14. The Sea of Japan
15. The Sea of Okhotsk
16. The Bering Sea
Author = "Zeytounian, R."
Title = "Asymptotic Modeling of Atmospheric Flows"
Publisher = "Springer-Verlag, New York"
Year = "1990"
Pages = "396"
LOC = "QC 145.2 Z4813 1990"
ISBN = "0-387-19404-5"
Table of contents:
1. Introduction 1,
2. The equations 5,
2.1 The Euler equations 7,
2.2 The tangent plane approximation 10,
2.3 The so-called beta-plane approximation 11,
2.4 Different forms of the Euler equations 16,
2.5 The non-dimensional non-adiabatic equations 22,
3. Internal waves and filtering 26,
3.1 The case of dT/dz = 0: The wave equation 27,
3.2 The vertical structure of the internal waves 30,
3.3 Filtering 36,
3.4 Conclusions and bibliographical references 42,
4. Rossby waves 44,
4.1 An evolution equation for Rossby waves 44,
4.2 Rossby waves in linear theory 48,
4.3 Rossby waves in a so-called barotropic atmosphere 53,
4.4 On the problem of hydrodynamics instability 57,
4.5 Conclusions and bibliographical references 60,
5. A presentation of asymptotic methods 63,
5.1 A matched asymptotic expansions method 65,
5.2 The multiple-scale method 72,
6. Some applications of the MMAE and MSM 75,
6.1 Application of the MMAE to adiabatic flows with
small Kibel numbers 75,
6.2 Double-scale structure of the Boussinesq waves:
linear theory 78,
6.3 Various hydrostatic limiting processes 89,
6.4 A triple-deck structure related local model 97,
7. The quasi-static approximation 107,
7.1 The exact quasi-static equations 109,
7.2 Asymptotic analysis of the primitive equations 115,
7.3 The boundary layer phenomenon and the primitive
equations 117,
7.4 Simplified primitive equations 119,
7.5 The hydrostatic balance adjustment problem (in an
adiabatic atmosphere) 123,
7.6 Complementary remarks 1 130,
7.7 Complementary remarks 2 136,
8. The Boussinesq approximation 142,
8.1 The Boussinesq equations 144,
8.2 Some considerations concerning the singular nature
of the Boussinesq approximation 147,
8.3 Three new forms of the Boussinesq equations 149,
8.4 Concerning a linear theory of the Boussinesq waves 155,
8.5 The problem of adjustment to the Boussinesq state 164,
8.6 Complementary remarks 168,
9. The isochoric approximation 177,
9.1 The isochoric equations 178,
9.2 Some considerations concerning the singular nature
of the isochoric approximation 180,
9.3 The relation between the isochoric and Boussinesq
approximations 181,
9.4 Wave phenomena in the isochoric flows 186,
9.5 Complementary remarks 195,
10. The deep convection approximation 202,
10.1 The "anelastic" equations of Ogura and Phillips 203,
10.2 The deep convection equations according to
Zeytounian 205,
10.3 The relation between the Boussinesq and the
deep convection approximations 210,
10.4 Complementary remarks 213,
11. The quasi-geostrophic and ageostrophic models 220,
11.1 The classical quasi-geostrophic model 225,
11.2 The adjustment to geostrophy 228,
11.3 The Ekman steady boundary layer and the Ackerblom
problem 232,
11.4 The so-called "ageostrophic" model 236,
11.5 Complementary remarks 255,
12. Models derived from the theory of low Mach number flows 263,
12.1 The so-called classical "quasi-nondivergent" model
and its limitations 265,
12.2 The generalized quasi-nondivergent model and its
limitations 273,
12.3 Analysis of Guiraud adn Zeytounian's recent results 278,
12.4 The problem of adjustment to the quasi-nondivergent
flow 287,
12.5 Complementary remarks 290,
13. The models for the local and regional scale atmospheric
flows 295,
13.1 The free circulation models 298,
13.2 The models for the asymptotic analysis of lee waves 304,
13.3 Modeling of the interaction phenomenon between free
and forced circulations 346,
13.4 Complementary remarks 350,
Appendix. The hydrostatic forecasting equations for large-
synoptic scale atmospheric processes 379,
References 387,
Subject index 393 " }
Author = "Zeytounian, R. K."
Title = "Meteorological Fluid Dynamics: Asymptotic Modelling, Stability
and Chaotic Atmospheric Motion"
Publisher = "Springer-Verlag, New York"
Year = "1991"
Pages = "346"
LOC = "QC 861.2 Z47 1991"
ISBN = "0-387-54446-1"
Table of contents:
Chapter I. The rotating earth and its atmosphere 1,
1. The gravitational acceleration 1,
2. The Coriolis acceleration 3,
3. The atmosphere as a continuum 5,
Chapter II. Dynamical and thermodynamical equations for
atmospheric motions 12,
4. The basic equations 12,
5. The f0-plane and beta-plane approximations 20,
6. The equations for large synoptic scale atmospheric
processes 24,
7. The classical prmitive equations 25,
8. The Boussinesq model equations 28,
9. The quasi-geostrophic model equation 30,
Chapter III. Wave phenomena in the atmosphere 36,
10. The wave equation for internal waves 36,
11. The wind divergence equation for 2-D internal waves 40,
12. Boussinesq gravity waves 44,
13. Rossby waves 53,
14. The isochoric nonlinear wave equation (Long's equation) 60,
15. Boussinesq's three-dimensional linearized wave equation
and results of the calculations 66,
Chapter IV. Filtering of internal waves 85,
16. Hydrostatic filtering 85,
17. Boussinesq filtering 86,
18. Geostrophic filtering 88,
Chapter V. Unsteady adjustment problems 90,
19. Adjustment to hydrostatic balance 91,
20. Adjustment to Boussinesq state 101,
21. Adjustment to geostrophy 105,
Chapter VI. Lee wave local dynamic problems 114,
22. Euler's local dynamic model equations 114,
23. Model equations for the 2-D steady lee waves 119,
24. Boussinesq's inner solution 122,
25. Outer, Guiraud's and Zeytounian's solution 129,
26. Long's classical problem 135,
27. Models for lee waves throughout the troposphere 149,
Chapter VII. Boundary layer problems 155,
28. The Ekman layer 155,
29. Model equations for breezes 161,
30. Model equations for the slope wind 170,
31. Model problem for the local thermal prediction (the
triple deck viewpoint) 176,
Chapter VIII. Meteodynamic stability 187,
32. What is stability? 187,
33. The classical Eady problem 191,
34. The Eady problem for a slightly viscous atmosphere 198,
35. More on baroclinic instability 200,
36. Barotropic instability 203,
37. The Taylor-Goldstein equation and stability of
stratified shear isochoric flow 205,
38. The convective instability problem 212,
Chapter IX. Deterministic chaotic behaviour of atmospheric
motions 234,
39. Atmospheric equations as a finite-dimensional
dynamical system 234,
40. Scenarios 241,
41. The Benard problem for internal free convection 257,
42. The Lorenz dynamical system 265,
43. The Lorenz (strange) attractor 271,
Chapter X. Miscellanea 280,
44. Internal solitary waves is an isochoric flow 280,
45. The deep convection equations 292,
46. The model equations for low Mach number atmospheric
flows 299,
47. Fractals in atmospheric turbulence 307,
Appendix 1. Boundary layer techniques for the study of
singular perturbation problems 315,
Appendix 2. Two-variable expansions 327,
Bibliography 337,
Author index 341,
Subject index 344 " }
S. Baum
Dept. of Oceanography
Texas A&M University
baum@astra.tamu.edu