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Navier-Stokes equations : an introduction with applications

Author: Grzegorz Lukaszewicz; Piotr Kalita
Publisher: Switzerland : Springer, 2016.
Series: Advances in mechanics and mathematics, v. 34.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume is devoted to the study of the Navier?Stokes equations, providing a comprehensive reference for a range of applications: from students to engineers and mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Grzegorz Lukaszewicz; Piotr Kalita
ISBN: 9783319277608 331927760X 3319277588 9783319277585
OCLC Number: 946724581
Description: 1 online resource (xiv, 390 pages) : illustrations.
Contents: Introduction and summary --
Equations of classical hydrodynamics --
Mathematical preliminaries --
Stationary solutions of the Navier?Stokes equations --
Stationary solutions of the Navier?Stokes equations with friction --
Stationary flows in narrow films and the Reynolds equation --
Autonomous two-dimensional Navier?Stokes equations --
Invariant measures and statistical solutions --
Global attractors and a lubrication problem --
Exponential attractors in contact problems --
Non-autonomous Navier?Stokes equations and pullback attractors --
Pullback attractors and statistical solutions --
Pullback attractors and shear flows --
Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier?Stokes equations --
Attractors for multivalued processes in contact problems --
References --
Index.
Series Title: Advances in mechanics and mathematics, v. 34.
Responsibility: Grzegorz Łukaszewicz, Piotr Kalita.

Abstract:

This volume is devoted to the study of the Navier-Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional  Read more...

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"This book, which was written with the intent of being useful to researchers willing to learn about the mathematics as well as graduate students and researchers studying the dynamical systems Read more...

 
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