Wave Packets and Their Bifurcations in Geophysical Fluid Dynamics

1991. Auflage 1990
ISBN: 978-0-387-97257-2
Verlag: Springer

Buch, Englisch, Band 85, 250 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1210 g

Reihe: Applied Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Yang, Huijun

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)
• Naturwissenschaften Physik Angewandte Physik Umweltphysik
• Geowissenschaften Geologie Geophysik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Geowissenschaften Geologie Meteorologie, Klimatologie
• Geowissenschaften Geologie Hydrologie, Hydrogeologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.