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Partial Differential Equations in Fluid Mechanics.
・ISBN 978-1-108-46096-5 paper GB£ 80.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-61057-5
| 著者・編者 | Fefferman, Charles L. / Robinson, James C. / Rodrigo, Jose L. (eds.), |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2018 |
| ページ数 | 336 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2459＞ |
解説
The Euler and Navier-Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier-Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.