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 Writing Centers in the Higher Education Landscape of the Arabian Gulf by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Respiratory Mechanics by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Smart Bioenergy by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Topics in Fixed Point Theory by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Urban Mobility in Modern China by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Nanoplasmonics, Nano-Optics, Nanocomposites, and Surface Studies by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Politics and Violence in Central America and the Caribbean by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Partial Least Squares Path Modeling by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Advances in Services Computing by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book A Critical Appraisal of Karl Olivecrona's Legal Philosophy by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book The Barley Genome by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Anaerobes in Biotechnology by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Resistance to Proteasome Inhibitors in Cancer by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Genomic Selection for Crop Improvement by Grzegorz Łukaszewicz, Piotr Kalita
Cover of the book Sustainable Learning in Higher Education 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