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001 978-0-387-46213-4
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008 100301s2006 xxu| s |||| 0|eng d
020 _a9780387462134
_9978-0-387-46213-4
024 7 _a10.1007/978-0-387-46213-4
_2doi
040 _aISI Library, Kolkata
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBWR
_2thema
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aSamelson, Roger M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLagrangian Transport in Geophysical Jets and Waves
_h[electronic resource] :
_bThe Dynamical Systems Approach /
_cby Roger M. Samelson, Stephen Wiggins.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aX, 150 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v31
505 0 _aSteadily Translating Waves and Meanders -- Integrability of Lagrangian Motion -- Fluctuating Waves and Meanders -- Material Manifolds, Flow Regimes, and Fluid Exchange -- Lobe Transport and Flux -- Transport and Dynamics.
520 _aThis book provides an accessible introduction to a new set of methods for the analysis of Lagrangian motion in geophysical flows. These methods were originally developed in the abstract mathematical setting of dynamical systems theory, through a geometric approach to differential equations. Despite the recent developments in this field and the existence of a substantial body of work on geophysical fluid problems in the dynamical systems and geophysical literature, this is the first introductory text that presents these methods in the context of geophysical fluid flow. The book is organized into seven chapters; the first introduces the geophysical context and the mathematical models of geophysical fluid flow that are explored in subsequent chapters. The second and third cover the simplest case of steady flow, develop basic mathematical concepts and definitions, and touch on some important topics from the classical theory of Hamiltonian systems. The fundamental elements and methods of Lagrangian transport analysis in time-dependent flows that are the main subject of the book are described in the fourth, fifth, and sixth chapters. The seventh chapter gives a brief survey of some of the rapidly evolving research in geophysical fluid dynamics that makes use of this new approach. Related supplementary material, including a glossary and an introduction to numerical methods, is given in the appendices. This book will prove useful to graduate students, research scientists, and educators in any branch of geophysical fluid science in which the motion and transport of fluid, and of materials carried by the fluid, is of interest. It will also prove interesting and useful to the applied mathematicians who seek an introduction to an intriguing and rapidly developing area of geophysical fluid dynamics. The book was jointly authored by a geophysical fluid dynamicist, Roger M. Samelson of the College of Oceanic and Atmospheric Sciences at Oregon State University, USA and an applied mathematician, Stephen Wiggins of the School of Mathematics, University of Bristol, UK.
650 0 _aDifferentiable dynamical systems.
650 0 _aGeography.
650 1 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aEarth Sciences, general.
_0http://scigraph.springernature.com/things/product-market-codes/G00002
650 2 4 _aClassical and Continuum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P2100X
700 1 _aWiggins, Stephen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441922045
776 0 8 _iPrinted edition:
_z9780387513096
776 0 8 _iPrinted edition:
_z9780387332697
830 0 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v31
856 4 0 _uhttps://doi.org/10.1007/978-0-387-46213-4
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425224
_d425224