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100   $a20060330d2006      uy         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt
182   $cc
183   $acr
200 12$aA mathematical theory of large-scale atmosphere/ocean flow /$fMichael J.P. Cullen
205   $a1st ed.
210   $aLondon $cImperial College Press$dc2006
215   $a1 online resource (xiii, 259 p. ) $cill., maps
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a1-86094-518-X 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 1. Introduction -- 2. The governing equations and asymptotic approximations to them. 2.1. The governing equations. 2.2. Key asymptotic regimes. 2.3. Derivation of the semi-geostrophic approximation. 2.4. Various approximations to the shallow water equations. 2.5. Various approximations to the three-dimensional hydrostatic Boussinesq equations -- 3. Solution of the semi-geostrophic equations in plane geometry. 3.1. The solution as a sequence of minimum energy states. 3.2. Solution as a mass transportation problem. 3.3. The shallow water semi-geostrophic equations. 3.4. A discrete solution of the semi-geostrophic equations. 3.5. Rigorous results on existence of solutions -- 4. Solution of the semi-geostrophic equations in more general cases. 4.1. Solution of the semi-geostrophic equations for compressible flow. 4.2. Spherical semi-geostrophic theory. 4.3. The shallow water spherical semi-geostrophic equations. 4.4. The theory of almost axisymmetric flows -- 5. Properties of semi-geostrophic solutions. 5.1. The applicability of semi-geostrophic theory. 5.2. Stability theorems for semi-geostrophic flow. 5.3. Numerical methods for solving the semi-geostrophic equations -- 6. Application of semi-geostrophic theory to the predictability of atmospheric flows. 6.1. Application to shallow water flow on various scales. 6.2. The Eady wave. 6.3. Simulations of baroclinic waves. 6.4. Semi-geostrophic flows on the sphere. 6.5. Orographic flows. 6.6. Inclusion of friction. 6.7. Inclusion of moisture -- 7. Summary.
330   $aAims to counteract the fashion for theories of "chaos" and unpredictability by describing a theory that underpins the accuracy of deterministic weather forecasts. This book suggests that further improvements are possible.
606   $aDynamic meteorology
606   $aDynamic meteorology$xMathematics
606   $aRossby waves
606   $aRossby waves$xMathematics
606   $aAtmospheric circulation$xMathematics
606   $aOcean circulation$xMathematics
615  0$aDynamic meteorology.
615  0$aDynamic meteorology$xMathematics.
615  0$aRossby waves.
615  0$aRossby waves$xMathematics.
615  0$aAtmospheric circulation$xMathematics.
615  0$aOcean circulation$xMathematics.
676   $a551.5
700   $aCullen$b Michael J. P$0941204
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910824885503321
996   $aA mathematical theory of large-scale atmosphere$94124406
997   $aUNINA