000 04011nam a22004815i 4500
001 978-3-642-31034-8
003 DE-He213
005 20140220082849.0
007 cr nn 008mamaa
008 121025s2013 gw | s |||| 0|eng d
020 _a9783642310348
_9978-3-642-31034-8
024 7 _a10.1007/978-3-642-31034-8
_2doi
050 4 _aQC19.2-20.85
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aDolzhansky, Felix V.
_eauthor.
245 1 0 _aFundamentals of Geophysical Hydrodynamics
_h[electronic resource] /
_cby Felix V. Dolzhansky.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXIV, 272 p. 35 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aEncyclopaedia of Mathematical Sciences,
_x0938-0396 ;
_v103
505 0 _aPreface -- Part I Main Principles and Laws of Motion of an Ideal Fluid -- Part II Quasi-geostrophic Approximations of the Equations of Motion of Rotating Barotropic and Baroclinic Fluids -- Part III Hydrodynamic Stability and Atmospheric Dynamics -- Part IV Friction in Geophysical Boundary Layers and Their Models -- Part V Mechanical Prototypes of Equations of Motion of a Rotating Stratified Fluid and a Toy Model of Atmospheric Circulation -- Part VI Appendices -- Index.
520 _aThis newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi-geostrophic equation, thermal wind, singular Helmholtz vortices, derivation of the Navier-Stokes equation, Kolmogorov's flow, hydrodynamic stability, and geophysical boundary layers. Generalizing V. Arnold's approach to hydrodynamics, the author ingeniously brings in an analogy of Coriolis forces acting on fluid with  motion of the Euler heavy top and shows how this is used  in the analysis of general atmospheric circulation. This book is based on popular graduate and undergraduate courses given by F.V.Dolzhansky at the Moscow Institute of Physics and Technology, and is the result of the author's highly acclaimed work in Moscow's  Laboratory of Geophysical Hydrodynamics. Each chapter is full of examples and figures, exercises and hints, motivating and illustrating both theoretical and experimental results. The exposition is comprehensive yet user-friendly in engaging and exploring the broad range of topics for students and researchers in mathematics, physics, meteorology and engineering.  This book is based on popular graduate and undergraduate courses given by F.V.Dolzhansky at the Moscow Institute of Physics and Technology, and is the result of the author's highly acclaimed work in Moscow's  Laboratory of Geophysical Hydrodynamics. Each chapter is full of examples and figures, exercises and hints, motivating and illustrating both theoretical and experimental results. The exposition is comprehensive yet user-friendly in engaging and exploring the broad range of topics for students and researchers in mathematics, physics, meteorology and engineering. 
650 0 _aMathematics.
650 0 _aHydraulic engineering.
650 1 4 _aMathematics.
650 2 4 _aMathematical Applications in the Physical Sciences.
650 2 4 _aGeophysics and Environmental Physics.
650 2 4 _aHydrogeology.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aFluid- and Aerodynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642310331
830 0 _aEncyclopaedia of Mathematical Sciences,
_x0938-0396 ;
_v103
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-31034-8
912 _aZDB-2-SMA
999 _c97055
_d97055