Analysis of the Navier-Stokes Problem

Ramm, Alexander G.

ISBN 10: 3031307259 / ISBN 13: 9783031307256

Published by Springer, 2024

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Bibliographic Details

• Title: Analysis of the Navier-Stokes Problem
• Publisher: Springer
• Publication Date: 2024
• Language: English
• ISBN 10: 3031307259
• ISBN 13: 9783031307256
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: Brand New

About this title

Synopsis

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.

About the Author

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.