| 书目名称 | Stochastic Porous Media Equations | | 编辑 | Viorel Barbu,Giuseppe Da Prato,Michael Röckner | | 视频video | | | 概述 | This is the first book on stochastic porous media equations.Concentrates on essential points, including existence, uniqueness, ergodicity and finite time extinction results.Presents the state of the a | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found..The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model"..The book will be of interest to PhD students and researchers in mathematics, physics and biology.. | | 出版日期 | Book 2016 | | 关键词 | Primary: 60H15, 35K55, Secondary: 76S99, 76M30, 76M35; Porous Media Equations; Gaussian Noise; Stochast | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-41069-2 | | isbn_softcover | 978-3-319-41068-5 | | isbn_ebook | 978-3-319-41069-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:17:25
