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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 is devoted to the mathematical theory of the NSE for incompressible fluids. The basic, classical, and non-classical tools are included, and part of the material comes from original Read more...

 
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