| Document Type
|
:
|
BL
|
| Record Number
|
:
|
1018276
|
| Doc. No
|
:
|
b772646
|
| Main Entry
|
:
|
Cullen, Michael J. P.
|
| Title & Author
|
:
|
A mathematical theory of large-scale atmosphere/ocean flow /\ Michael J.P. Cullen.
|
| Publication Statement
|
:
|
London :: Imperial College Press,, ©2006.
|
| Page. NO
|
:
|
1 online resource (xiii, 259 pages) :: illustrations, maps
|
| ISBN
|
:
|
1860949193
|
|
|
:
|
: 9781860949197
|
|
|
:
|
186094518X
|
|
|
:
|
9781860945182
|
|
|
:
|
9781860949197
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
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.
|
| Subject
|
:
|
Atmospheric circulation-- Mathematics.
|
| Subject
|
:
|
Dynamic meteorology-- Mathematics.
|
| Subject
|
:
|
Dynamic meteorology.
|
| Subject
|
:
|
Ocean circulation-- Mathematics.
|
| Subject
|
:
|
Rossby waves-- Mathematics.
|
| Subject
|
:
|
Rossby waves.
|
| Subject
|
:
|
Atmospheric circulation-- Mathematics.
|
| Subject
|
:
|
Dynamic meteorology.
|
| Subject
|
:
|
Rossby waves.
|
| Subject
|
:
|
SCIENCE-- Earth Sciences-- Meteorology Climatology.
|
| Dewey Classification
|
:
|
551.5
|
| LC Classification
|
:
|
QC880.4.R6C855 2006eb
|