Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

Franck Boyer,Pierre Fabrie

Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models
Format
Paperback
Publisher
Springer-Verlag New York Inc.
Country
United States
Published
13 December 2014
Pages
526
ISBN
9781489986030

Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

Franck Boyer,Pierre Fabrie

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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.

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