| 书目名称 | Stochastic Partial Differential Equations in Fluid Mechanics |
| 编辑 | Franco Flandoli,Eliseo Luongo |
| 视频video | |
| 概述 | Offers a pedagogical presentation of stochastic Navier–Stokes equations for advanced student.Provides a wide discussion of the origin and form of noise in fluid mechanics.Presents new trends in enhanc |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequenceson large-scale properties of a fluid.. |
| 出版日期 | Book 2023 |
| 关键词 | Stochastic Fluid Mechanics; Navier-Stokes equations; additive and transport noise; vortices and turbule |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-99-0385-6 |
| isbn_softcover | 978-981-99-0387-0 |
| isbn_ebook | 978-981-99-0385-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 17:52:28
