Mathematical Geophysics : An Introduction to Rotating Fluids and the Navier-Stokes Equations
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| Title: | Mathematical Geophysics : An Introduction to Rotating Fluids and the Navier-Stokes Equations |
|---|---|
| Description: | Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R². In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open. |
| Authors: | Jean-Yves Chemin, Benoit Desjardins, Isabelle Gallagher, Emmanuel Grenier |
| Resource Type: | eBook. |
| Subjects: | Geophysics--Mathematics, Navier-Stokes equations, Rotating masses of fluid |
| Categories: | SCIENCE / Waves & Wave Mechanics |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 201079 RelevancyScore: 1005 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1004.98577880859 |
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| Items | – Name: Title Label: Title Group: Ti Data: Mathematical Geophysics : An Introduction to Rotating Fluids and the Navier-Stokes Equations – Name: Abstract Label: Description Group: Ab Data: Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R². In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jean-Yves+Chemin%22">Jean-Yves Chemin</searchLink><br /><searchLink fieldCode="AR" term="%22Benoit+Desjardins%22">Benoit Desjardins</searchLink><br /><searchLink fieldCode="AR" term="%22Isabelle+Gallagher%22">Isabelle Gallagher</searchLink><br /><searchLink fieldCode="AR" term="%22Emmanuel+Grenier%22">Emmanuel Grenier</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Geophysics--Mathematics%22">Geophysics--Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Rotating+masses+of+fluid%22">Rotating masses of fluid</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Waves+%26+Wave+Mechanics%22">SCIENCE / Waves & Wave Mechanics</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 532.0595 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Geophysics--Mathematics Type: general – SubjectFull: Navier-Stokes equations Type: general – SubjectFull: Rotating masses of fluid Type: general Titles: – TitleFull: Mathematical Geophysics : An Introduction to Rotating Fluids and the Navier-Stokes Equations Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jean-Yves Chemin – PersonEntity: Name: NameFull: Benoit Desjardins – PersonEntity: Name: NameFull: Isabelle Gallagher – PersonEntity: Name: NameFull: Emmanuel Grenier – PersonEntity: Name: NameFull: Jean-Yves Chemin – PersonEntity: Name: NameFull: Benoit Desjardins – PersonEntity: Name: NameFull: Isabelle Gallagher – PersonEntity: Name: NameFull: Emmanuel Grenier IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2006 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780198571339 – Type: isbn-electronic Value: 9780191513893 Numbering: – Type: volume Value: 00032 Titles: – TitleFull: Mathematical Geophysics : An Introduction to Rotating Fluids and the Navier-Stokes Equations Type: main |
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