书目名称 | Stability and Wave Motion in Porous Media | 编辑 | Brian Straughan | 视频video | | 概述 | First book treatment of spatial decay and structural stability.Straight forward accessible approach.Includes supplementary material: | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | This book presents an account of theories of ?ow in porous media which have proved tractable to analysis and computation. In particular, the t- ories of Darcy, Brinkman, and Forchheimer are presented and analysed in detail. In addition, we study the theory of voids in an elastic material due to J. Nunziato and S. Cowin. The range of validity of each theory is outlined and the mathematical properties are considered. The questions of structural stability, where the stability of the model itself is under cons- eration, and spatial stability are investigated. We believe this is the ?rst such account of these topics in book form. Throughout, we include several new results not published elsewhere. Temporal stability studies of a variety of problems are included, indic- ingpracticalapplicationsofeach.Bothlinearinstabilityanalysisandglobal nonlinear stability thresholds are presented where possible. The mundane, importantproblemofstabilityof?owinasituationwhereaporousmedium adjoins a clear ?uid is also investigated in some detail. In particular, the chapter dealing with this problem contains some new material only p- lished here. Since stability properties inevitably end up requiring to so | 出版日期 | Book 2008 | 关键词 | Media; Motion; Porous; Stability; Straughan; Wave; convection; porous media; partial differential equations | 版次 | 1 | doi | https://doi.org/10.1007/978-0-387-76543-3 | isbn_softcover | 978-1-4419-2626-5 | isbn_ebook | 978-0-387-76543-3Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer-Verlag New York 2008 |
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