A Mathematical Theory Of Large-Scale Atmosphere/Ocean Flow.

This book counteracts the current fashion for theories of "chaos" and unpredictability by describing a theory that underpins the surprising accuracy of current deterministic weather forecasts, and it suggests that further improvements are possible. The book does this by making a unique lin...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2006.
Temas:
Dynamic meteorology.
Dynamic meteorology > Mathematics.
Rossby waves.
Rossby waves > Mathematics.
Atmospheric circulation > Mathematics.
Ocean circulation > Mathematics.
Météorologie dynamique.
Météorologie dynamique > Mathématiques.
Ondes de Rossby.
Ondes de Rossby > Mathématiques.
Circulation atmosphérique > Mathématiques.
Circulation océanique > Mathématiques.
Atmospheric circulation > Mathematics
Dynamic meteorology
Rossby waves
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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