An Introduction to the Mathematical Fluid Dynamics of Oceanic and Atmospheric Flows
The study of the movement of the atmosphere and the oceans is intriguing, challenging and important, particularly in the context of current concerns about the climate. The familiar and tested approach to these problems is based on the construction of model equations, tailored to address specific flo...
Enregistré dans:
| Hovedforfatter: | |
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin :
European Mathematical Society
2023.
Berlin : |
| Serier: | ESI Lectures in Mathematics and Physics
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| Online adgang: | Accès sur la plateforme EMS Press Accès sur la plateforme ISTEX Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
European Mathematical Society (Licence nationale) European Mathematical Society (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An Introduction to the Mathematical Fluid Dynamics of Oceanic and Atmospheric Flows, 978-3-98547-029-7 |
| Summary: | The study of the movement of the atmosphere and the oceans is intriguing, challenging and important, particularly in the context of current concerns about the climate. The familiar and tested approach to these problems is based on the construction of model equations, tailored to address specific flow scenarios. In this text, we present a single, over-arching approach which uses the thin-shell approximation - and nothing more - applied to the general equations of fluid dynamics. This allows a range of classical problems, and some new applications, to be accessed from a single formulation which retains all the relevant physical attributes, as well as the essential characteristics of the spherical geometry. The approximations and assumptions are clear and higher-order terms are readily accessible. The main aim is to present the material in a mathematically consistent and robust fashion - in the applied sense - emphasising the systematic, asymptotic methods usually employed in mathematical fluid dynamics. This is not a textbook that introduces the physical principles underpinning the study of the oceans and the atmosphere. Rather, it is intended to enhance the more usual modelling approach to these studies and, more significantly, to introduce those with mathematical interests, but no expertise in these particular applications, to these types of problems. The text is suitable for researchers, and students, in the oceanic and atmospheric sciences, and for mathematicians - again researchers and students - with an interest in the application of fluid dynamics to more complicated flow scenarios. |
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| Emne beskrivelse: | European Mathematical Society (Licence nationale) European Mathematical Society (Licence nationale) |
| ISBN: | 9783985475292 |
| ISSN: | 2943-4939 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/wp-content/uploads/2022/07/EMS_ebooks_LN_CollEx_contrat.pdf |