株式会社極東書店トップ ＞ 商品一覧 ＞ Observability and Mathematics : Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling.
商品詳細
Observability and Mathematics : Fluid Mechanics, Solutions of Navier-Stokes Equations, and Modeling.
・ISBN 978-1-032-00813-4 hard GB£ 124.99
￥39,596.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-003-17590-2
| 著者・編者 | Khots, Boris, |
|---|---|
| シリーズ | Advances in Applied Mathematics |
| 出版社 | (Chapman & Hall/CRC, UK) |
| 出版年月 | 2021 |
| ページ数 | 214 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7624＞ |
解説
The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic problem for this interpretation of fluid motion laws.
If we have a piece of metal or a volume of liquid, the idea impresses itself upon us that it is divisible without limit, that any part of it, however small, would again have the same properties. But, wherever the methods of research in the physics of matter were refined sufficiently, limits to divisibility were reached that are not due to the inadequacy of our experiments but to the nature of the subject matter.
Observability in mathematics were developed by the author based on denial of infinity idea. He introduces observers into arithmetic, and arithmetic becomes dependent on observers. And after that the basic mathematical parts also become dependent on observers. This approach permits to reconsider the fluid motion laws, analyze them and get solutions of classic problems.
Table of Contents
1. Introduction.
2. Observability and Arithmetic.
3. Observability and Vector Algebra.
4. Observability and Mathematical Analysis (Calculus).
5. Classic Fluid Mechanics equations and Observability.
6. Observability and Thermodynamical equations.
7. Observability and equation of continuity.
8. Observability and Euler equation of motion of the fluid.
9. Observability and energy flux and moment flux equations.
10. Observability and incompressible fluids.
11. Observability and Navier-Stokes equations.
12. Observability and Relativistic Fluid Mechanics.
13. Appendix: Review of publications of the Mathematics with Observers.
14. Glossary.
Bibliography
Index
Biography
Boris Khots, DrSci, lives in Iowa, USA, Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer's Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers.