Analysis of the Navier-Stokes Problem: Solution of a Millennium Problem

Author:   Alexander G. Ramm
Publisher:   Springer International Publishing AG
Edition:   Second Edition 2023
ISBN:  

9783031307225


Pages:   87
Publication Date:   25 June 2023
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Analysis of the Navier-Stokes Problem: Solution of a Millennium Problem


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Overview

This book revises and expands upon the prior edition,  The Navier-Stokes Problem. The focus of this book is to provide a mathematical analysis of the Navier-Stokes Problem (NSP) in R^3 without boundaries.  Before delving into analysis, the author begins by explaining the background and history of the Navier-Stokes Problem. This edition includes new analysis and an  a priori  estimate of the solution. The estimate proves the contradictory nature of the Navier-Stokes Problem. The author reaches the conclusion that the solution to the NSP with smooth and rapidly decaying data cannot exist for all positive times. By proving the NSP paradox, this book provides a solution to the millennium problem concerning the Navier-Stokes Equations and shows that they are physically and mathematically contradictive.

Full Product Details

Author:   Alexander G. Ramm
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Second Edition 2023
Weight:   0.365kg
ISBN:  

9783031307225


ISBN 10:   3031307224
Pages:   87
Publication Date:   25 June 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Introduction.- Brief History of the Navier-Stokes Problem.- Statement of the Navier-Stokes Problem.- Theory of Some Hyper-Singular Integral Equations.- A Priori Estimates of the Solution to the NSP.- Uniqueness of the Solution to the NSP.- The Paradox and its Consequences.- Logical Analysis of Our Proof.

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Author Information

Alexander G. Ramm, Ph.D., is a Professor Emeritus of Mathematics at Kansas State University. He is the author of approximately 715 research papers, 20 research monographs, and an editor of three books. Dr. Ramm won the Khwarizmi international award in 2004. His research interests include analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics.

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