Analysis of the Navier-Stokes Problem | Buch

Cover: 9783031307225 | Analysis of the Navier-Stokes Problem | Alexander G. Ramm | Buch | xvi

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Explains the background and history of the Navier-Stokes Problem

Provides mathematical analysis of the Navier-Stokes Problem in R3 without boundaries

Proves that the Navier-Stokes equations are physically and mathematically contradictive

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2023
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvi 87 S. 1 s/w Illustr. 87 p. 1 illus.
ISBN-13:	9783031307225
ISBN-10:	3031307224
Sprache:	Englisch
Einband:	Gebunden
Autor:	Ramm, Alexander G.
Auflage:	Second Edition 2023
Hersteller:	Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	246 x 173 x 12 mm
Von/Mit:	Alexander G. Ramm
Erscheinungsdatum:	25.06.2023
Gewicht:	0,365 kg

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