Analysis of the Navier-Stokes Problem
eBook - ePub

Analysis of the Navier-Stokes Problem

Solution of a Millennium Problem

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Analysis of the Navier-Stokes Problem

Solution of a Millennium Problem

About this book

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.

Information

Publisher
Springer
Year
2023
Print ISBN
9783031307225
Edition
2
eBook ISBN
9783031307232

Table of contents

  1. Cover
  2. Front Matter
  3. 1.Ā Introduction
  4. 2.Ā Brief History of the Navier–Stokes Problem
  5. 3.Ā Statement of the Navier–Stokes Problem
  6. 4.Ā Theory of Some Hyper-Singular Integral Equations
  7. 5.Ā A Priori Estimates of the Solution to the NSP
  8. 6.Ā Uniqueness of the Solution to the NSP
  9. 7.Ā The Paradox and Its Consequences
  10. 8.Ā Logical Analysis of Our Proof
  11. Back Matter

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Yes, you can access Analysis of the Navier-Stokes Problem by Alexander G. Ramm in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.