By Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier

aimed toward graduate scholars, researchers and teachers in arithmetic, engineering, oceanography, meteorology, and mechanics, this article presents an in depth creation to the actual conception of rotating fluids, an important a part of geophysical fluid dynamics. The textual content is split into 4 components, with the 1st half supplying the actual history of the geophysical versions to be analyzed. half is dedicated to a self contained facts of the life of vulnerable (or robust) ideas to the imcompressible Navier-Stokes equations. half 3 offers with the swiftly rotating Navier-Stokes equations, first within the entire area, the place dispersion results are thought of. The case the place the area has periodic boundary stipulations is then analyzed, and at last rotating Navier-Stokes equations among plates are studied, either on the subject of periodic horizontal coordinated and people in R2. partly IV, the steadiness of Ekman boundary layers and boundary layer results in magnetohydrodynamics and quasigeostrophic equations are mentioned. The boundary layers which seem close to vertical partitions are provided and officially associated with the classical Prandlt equations. eventually round layers are brought, whose examine is totally open.

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Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations (Oxford Lecture Series in Mathematics and Its Applications) by Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier


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