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Analysis of the Navier-Stokes Problem : Solution of a Millennium Problem. Second Edition 2023.
・ISBN 978-3-031-30725-6 paper EUR 27.99
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| 著者・編者 | Ramm, Alexander G., |
|---|---|
| シリーズ | Synthesis Lectures on Mathematics & Statistics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2024 |
| ページ数 | 87 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12992＞ |
解説
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.