Written jointly by a specialist in geophysical fluid dynamics and an applied mathematician, this is the first accessible introduction to a new set of methods for analysing Lagrangian motion in geophysical flows. The book opens by establishing context and fundamental mathematical concepts and definitions, exploring simple cases of steady flow, and touching on important topics from the classical theory of Hamiltonian systems. Subsequent chapters examine the elements and methods of Lagrangian transport analysis in time-dependent flows. The concluding chapter offers a brief survey of rapidly evolving research in geophysical fluid dynamics that makes use of this new approach.
Publisher: Springer-Verlag New York Inc.
Number of pages: 150
Weight: 890 g
Dimensions: 235 x 155 x 11 mm
Edition: 2006 ed.
From the reviews:
"A strong understanding of Lagrangian approaches to the transport and stirring of fluid often benefits from mental visualization. One must picture diverging fluid and evolving material curves that deform and tangle about each other. A successful introduction to this subject should facilitate this description, and this fine monograph by Roger Samelson and Steve Wiggins does so effectively. The book is written primarily for students and researchers in the geosciences." (Larry Pratt, SIAM Review, Vol. 49 (4), 2007)
"Samelson and Wiggins aim to provide an accessible introduction to modern mathematical techniques to explore transport and exchange in geophysical flows. ... The book is very well structured. ... Each chapter has a good introduction and concludes with a good summary. The book undoubtedly reads well. ... The four appendices provide interesting extra information. The two page index is adequate. Over nine pages of references ensures the bibliography provides valuable pointers into recent research. ... In summary: lovely material, well written ... ." (Anthony John Roberts, Mathematical Reviews, Issue 2008 f)
"The purpose of the monograph is to explore some of the new insights into Lagrangian motion in geophysical flows followed from such approach and to present an accessible introduction to the basic elements of some of these methods. ... The monograph will be useful for applied mathematicians, especially working in geophysical fluid dynamics." (Boris V. Loginov, Zentralblatt MATH, Vol. 1132 (10), 2008)
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