An Introduction to Navier-Stokes equation and oceanography
The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists...
Uloženo v:
| Hlavní autor: | |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Springer e-books
[20..].
Cham : Springer Nature |
| Edice: | lecture notes of the unione matematica italiana
1 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'après consultation du 08 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to Navier-Stokes equation and oceanography, Luc Tartar, 2006, Berlin, Springer, 1 vol. (XXVII-245 p.), Lecture notes of the Unione Matematica Italiana, 978-3-540-35743-8 |
Obsah:
- Basic physical laws and units Radiation balance of atmosphere Conservations in ocean and atmosphere Sobolev spaces I Particles and continuum mechanics Conservation of mass and momentum Conservation of energy One-dimensional wave equation Nonlinear effects, shocks Sobolev spaces II Linearized elasticity Ellipticity conditions Sobolev spaces III Sobolev spaces IV Sobolev spaces V Sobolev embedding theorem Fixed point theorems Brouwer's topological degree Time-dependent solutions I Time-dependent solutions II Time-dependent solutions III Uniqueness in 2 dimensions Traces Using compactness Existence of smooth solutions Semilinear models Size of singular sets Local estimates, compensated integrability Coriolis force Equation for the vorticity Boundary conditions in linearized elasticity Turbulence, homogenization G-convergence and H-convergence One-dimensional homogenization, Young measures Nonlocal effects I Nonlocal effects II A model problem Compensated compactness I Compensated compactness II Differential forms The compensated compactness method H-measures and variants Biographical Information Abbreviations and Mathematical Notation