| 书目名称 | Random Perturbation of PDEs and Fluid Dynamic Models |
| 副标题 | École d’Été de Proba |
| 编辑 | Franco Flandoli |
| 视频video | |
| 概述 | Sometimes SPDEs perform better than PDEs: the book aims to understand when and why.Non traditional research directions in SPDE theory are presented.The interaction between noise and uniqueness or sing |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices. |
| 出版日期 | Book 2011 |
| 关键词 | 60H15, 60H10, 60J65, 35R60, 35Q35, 35B44, 76B03; Blow-up; Stochastic Fluid Dynamics; Stochastic Partial |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-18231-0 |
| isbn_softcover | 978-3-642-18230-3 |
| isbn_ebook | 978-3-642-18231-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 17:58:51
