NAVIER-STOKES PROBLEM

Erscheinungsjahr 2021
ISBN: 978-1-63639-124-3
Verlag: MORGAN & CLAYPOOL

Buch, Englisch, 77 Seiten, Hardback, Format (B × H): 191 mm x 235 mm

Reihe: Synthesis Lectures on Mathematics and Statistics

The main result of this book is a proof of the contradictory nature of the NavierStokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on + (except for the case when the initial velocity and the exterior force are both equal to zero).

Autoren/Hrsg.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

- Preface
- 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
- Appendix 1 – Theory of Distributions and Hyper-Singular Integrals
- Appendix 2 – Gamma and Beta Functions
- Appendix 3 – The Laplace Transform
- Bibliography
- Author's Biography