| 书目名称 | Interfacial Wave Theory of Pattern Formation | | 副标题 | Selection of Dendrit | | 编辑 | Jian-Jun Xu | | 视频video | | | 概述 | The methods described in this book use analytic methods..This as well as the many applications given in considerable detail make this monograph a unique welcomed addition to the existing literature. | | 丛书名称 | Springer Series in Synergetics | | 图书封面 |  | | 描述 | For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys tems far from equilibrium. In many practically very important physical sys tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach. Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the p | | 出版日期 | Book 19981st edition | | 关键词 | condensed matter; condensed matter physics; crystal; curvilinear coordinates; dendrite growth; eigenvalue | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-80435-9 | | isbn_ebook | 978-3-642-80435-9Series ISSN 0172-7389 Series E-ISSN 2198-333X | | issn_series | 0172-7389 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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发表于 2025-3-21 18:08:13
