ENGLISH

Analysis of the Navier-Stokes Problem: Solution of a Millennium Problem

By Alexander G. Ramm

Book information

Publisher
Springer Nature
Year
2023
ISBN
9783031307232, 9783031307225, 3031307232
Language
english
Format
EPUB
Filesize
6 MB (5791334 bytes)
Pages
91\0
Library
SoftArchive
Time added
2023-07-16 09:09:21

Description

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.

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