An Introduction To Navier Stokes Equation And Oceanography

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An Introduction to Navier-Stokes Equation and Oceanography

Author: Luc Tartar
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-08-25
This text corresponds to a graduate mathematics course taught at Carnegie Mellon University in the spring of 1999. Included are comments added to the lecture notes, a bibliography containing 23 items, and brief biographical information for all scientists mentioned in the text, thus showing that the creation of scientific knowledge is an international enterprise.
An Introduction to Sobolev Spaces and Interpolation Spaces

Author: Luc Tartar
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-05-26
After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

Author: Franck Boyer
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-11-06
The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .