Navier–Stokes Equations

An Introduction with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Navier–Stokes Equations by Grzegorz Łukaszewicz, Piotr Kalita, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Grzegorz Łukaszewicz, Piotr Kalita ISBN: 9783319277608
Publisher: Springer International Publishing Publication: April 12, 2016
Imprint: Springer Language: English
Author: Grzegorz Łukaszewicz, Piotr Kalita
ISBN: 9783319277608
Publisher: Springer International Publishing
Publication: April 12, 2016
Imprint: Springer
Language: English

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 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 applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations.

Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 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 applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations.

Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.

More books from Springer International Publishing

Cover of the book The Feeling of Certainty by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book From Logic to Practice by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Sex Hormones, Exercise and Women by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Mind, Brain and Technology by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Fractional Order Control and Synchronization of Chaotic Systems by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Statistical Analysis of Natural Disasters and Related Losses by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book The Life and Creative Works of Paulo Coelho by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book From Molecules to Materials by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Fluvial Depositional Systems by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Chinese Market Gardening in Australia and New Zealand by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Spirochete Biology: The Post Genomic Era by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Mathematics for Natural Scientists II by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Robot-Assisted Radical Prostatectomy by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Morphogenesis of Spatial Networks by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Recurrent Implantation Failure by Grzegorz Łukaszewicz, Piotr Kalita
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy