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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250225b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031307225 |
| Terms of availability |
(hbk) |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
518.64 |
| Item number |
RAM |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ramm, Alexander G. |
| 245 ## - TITLE STATEMENT |
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| Title |
Analysis of the Navier-Stokes Problem : Solution of a Millennium Problem |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2023 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 87 p. ; |
| Other physical details |
ill., |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
27.99 |
| Price type code |
€ |
| Unit of pricing |
93.20 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Synthesis Lectures on Mathematics & Statistics, |
| Volume number/sequential designation |
1938-1751 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibiographical references. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. In addition, this book: 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 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Analytic continuation |
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| Topical term or geographic name as entry element |
Banach space |
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| Topical term or geographic name as entry element |
Entire function |
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| Topical term or geographic name as entry element |
Fourier transform |
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| Topical term or geographic name as entry element |
Gamma function |
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| Topical term or geographic name as entry element |
Hyper-singular kernels |
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| Topical term or geographic name as entry element |
Integral equation |
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| Topical term or geographic name as entry element |
Laplace transform |
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| Topical term or geographic name as entry element |
Navier-Stokes equations |
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| Topical term or geographic name as entry element |
NSP paradox |
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| Topical term or geographic name as entry element |
Parseval equality |
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| Topical term or geographic name as entry element |
Sobolev space |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |