Wave packets and their bifurcations in geophysical fluid dynamics
著者
書誌事項
Wave packets and their bifurcations in geophysical fluid dynamics
（Applied mathematical sciences, v. 85）
Springer-Verlag, c1991
- : us
- : gw
- : softcover
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注記
"Softcover reprint of the hardcover 1st edition 1991"--T.p. verso of softcover
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
-
: us ISBN 9780387972572
内容説明
The material in this book is based predominantly on my recent work. It is the first monograph on the subject, though some support material may overlap other monographs. The investigation of wave packets and their bi furcations is very interesting, and useful theoretically and in practice, not only in geophysical fluid dynamics, which is the field to which the theory is being applied here, but also in other fields in mathematics and the natural sciences. I hope that the applied mathematician will find reading this book worthwhile, especially the material on the behavior of highly nonlinear dy namic systems. However, it is my belief that applying the concepts and methods developed here to other fields will be both interesting and con structive, since there are numerous phenomena in other areas of physics that share the characteristics of those in geophysical fluid dynamics. The theory developed here provides an effective tool to investigate the structure and the structural changes of dynamic systems in physics. Applications of the theory in geophysical fluid dynamics are an example of its usefulness and effectiveness. Some of the results presented here give us more insight into the nature of geophysical fluids. Moreover, the material is presented systematically and developmentally. Necessary basic knowledge is provided to make the book more readable for graduate students and researchers in such fields as applied mathematics, geophysical fluid dynamics, atmospheric sciences, and physical oceanogra phy.
目次
1 Introduction.- 2 The Wave Packet Theory.- 3 Evolution of the Wave Packet in Barotropic Flow.- 4 Global Behavior: The Wave Packet Structural Vacillation.- 5 Change in Global Behavior: Bifurcation.- 6 Secondary Bifurcation.- 7 Evolution of Wave Packets in Stratified Baroclinic Basic Flow.- 8 Wave Packets and Teleconnections.- Author Index.
- 巻冊次
-
: softcover ISBN 9781441930934
内容説明
The material in this book is based predominantly on my recent work. It is the first monograph on the subject, though some support material may overlap other monographs. The investigation of wave packets and their bi furcations is very interesting, and useful theoretically and in practice, not only in geophysical fluid dynamics, which is the field to which the theory is being applied here, but also in other fields in mathematics and the natural sciences. I hope that the applied mathematician will find reading this book worthwhile, especially the material on the behavior of highly nonlinear dy namic systems. However, it is my belief that applying the concepts and methods developed here to other fields will be both interesting and con structive, since there are numerous phenomena in other areas of physics that share the characteristics of those in geophysical fluid dynamics. The theory developed here provides an effective tool to investigate the structure and the structural changes of dynamic systems in physics. Applications of the theory in geophysical fluid dynamics are an example of its usefulness and effectiveness. Some of the results presented here give us more insight into the nature of geophysical fluids. Moreover, the material is presented systematically and developmentally. Necessary basic knowledge is provided to make the book more readable for graduate students and researchers in such fields as applied mathematics, geophysical fluid dynamics, atmospheric sciences, and physical oceanogra phy.
目次
1 Introduction.- 2 The Wave Packet Theory.- 3 Evolution of the Wave Packet in Barotropic Flow.- 4 Global Behavior: The Wave Packet Structural Vacillation.- 5 Change in Global Behavior: Bifurcation.- 6 Secondary Bifurcation.- 7 Evolution of Wave Packets in Stratified Baroclinic Basic Flow.- 8 Wave Packets and Teleconnections.- Author Index.
- 巻冊次
-
: gw ISBN 9783540972570
内容説明
This volume aims to provide insight into the understanding of the nature of the geophysical fluids, especially their structures and structural changes. Graduate students and researchers in fields such as applied mathematics, geophysical fluid dynamics, atmospheric sciences and physical oceanography should find this text a useful reference. The book can also be used as a supplement in courses such as wave theory, bifurcation theory, advanced dynamical meteorology, advanced dynamical oceanography and geophysical fluid dynamics.
目次
- Wave packet theory
- evolution of wave packets in barotropic flows
- global behaviour - wave packet structural vacillation
- change in global behaviour - bifurcation
- secondary bifurcation
- evolution of wave packets in stratified baroclinic basic flow
- wave packet propagation.
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