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Analysis of the Navier-Stokes Problem

Solution of a Millennium Problem

Medium: Buch
ISBN: 978-3-031-30722-5
Verlag: Springer International Publishing
Erscheinungstermin: 25.06.2023
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783031307225
  • Medium: Buch
  • ISBN: 978-3-031-30722-5
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 25.06.2023
  • Sprache(n): Englisch
  • Auflage: 2. Auflage 2023
  • Serie: Synthesis Lectures on Mathematics & Statistics
  • Produktform: Gebunden
  • Gewicht: 365 g
  • Seiten: 87
  • Format (B x H x T): 173 x 246 x 12 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.