03873nam 2200685Ia 450 991045099890332120200520144314.01-281-86714-497866118671401-86094-919-3(CKB)1000000000410967(StDuBDS)AH24683079(SSID)ssj0000199198(PQKBManifestationID)11187634(PQKBTitleCode)TC0000199198(PQKBWorkID)10204484(PQKB)10387680(MiAaPQ)EBC1681492(WSP)0000P375(Au-PeEL)EBL1681492(CaPaEBR)ebr10201232(CaONFJC)MIL186714(OCoLC)815742028(EXLCZ)99100000000041096720060330d2006 uy 0engur|||||||||||txtccrA mathematical theory of large-scale atmosphere/ocean flow[electronic resource] /Michael J.P. CullenLondon Imperial College Pressc20061 online resource (xiii, 259 p. ) ill., mapsBibliographic Level Mode of Issuance: Monograph1-86094-518-X Includes bibliographical references and index.Preface -- 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.Aims 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.Dynamic meteorologyDynamic meteorologyMathematicsRossby wavesRossby wavesMathematicsAtmospheric circulationMathematicsOcean circulationMathematicsElectronic books.Dynamic meteorology.Dynamic meteorologyMathematics.Rossby waves.Rossby wavesMathematics.Atmospheric circulationMathematics.Ocean circulationMathematics.551.5Cullen Michael J. P941204MiAaPQMiAaPQMiAaPQBOOK9910450998903321A mathematical theory of large-scale atmosphere2247762UNINA