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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000M 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn815742028 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un|---uuuuu | ||
| 008 | 121012s2006 xx o 000 0 eng d | ||
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| 020 | |a 1281867144 | ||
| 020 | |a 9781281867148 | ||
| 020 | |a 9781860949197 | ||
| 020 | |a 1860949193 | ||
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| 035 | |a (OCoLC)815742028 | ||
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| 072 | 7 | |a RBP |2 bicssc | |
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| 049 | |a UAMI | ||
| 245 | 0 | 2 | |a A Mathematical Theory Of Large-Scale Atmosphere/Ocean Flow. |
| 260 | |b World Scientific |c 2006. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a 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 link between an exciting new branch of mathematics called "optimal transportation" and existing classical theories of the large-scale atmosphere and ocean circulation. It is then possible to solve a set of simple equations proposed many years ago by Hoskins which are asymptotically valid on large scales, and use them to derive quantitative predictions about many large-scale atmospheric and oceanic phenomena. A particular feature is that the simple equations used have highly predictable solutions, thus suggesting that the limits of deterministic predictability of the weather may not yet have been reached. It is also possible to make rigorous statements about the large-scale behaviour of the atmosphere and ocean by proving results using these simple equations and applying them to the real system allowing for the errors in the approximation. There are a number of other titles in this field, but they do not treat this large-scale regime. | ||
| 505 | 0 | |a 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Dynamic meteorology. | |
| 650 | 0 | |a Dynamic meteorology |x Mathematics. | |
| 650 | 0 | |a Rossby waves. | |
| 650 | 0 | |a Rossby waves |x Mathematics. | |
| 650 | 0 | |a Atmospheric circulation |x Mathematics. | |
| 650 | 0 | |a Ocean circulation |x Mathematics. | |
| 650 | 6 | |a Météorologie dynamique. | |
| 650 | 6 | |a Météorologie dynamique |x Mathématiques. | |
| 650 | 6 | |a Ondes de Rossby. | |
| 650 | 6 | |a Ondes de Rossby |x Mathématiques. | |
| 650 | 6 | |a Circulation atmosphérique |x Mathématiques. | |
| 650 | 6 | |a Circulation océanique |x Mathématiques. | |
| 650 | 7 | |a Atmospheric circulation |x Mathematics |2 fast | |
| 650 | 7 | |a Dynamic meteorology |2 fast | |
| 650 | 7 | |a Rossby waves |2 fast | |
| 720 | |a Cullen, Michael J.P. | ||
| 758 | |i has work: |a A mathematical theory of large-scale atmosphere/ocean flow (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG48T4cb44WdCJpw6fBTMd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681492 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1681492 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 186714 | ||
| 994 | |a 92 |b IZTAP | ||