Self-similar Expanding Solutions in a Sector for a Crystalline Flow
Self-similar Expanding Solutions in a Sector for a Crystalline Flow
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DOI：
10.1137/040614372
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Giga;Y. Giga;H. Hontani
中科院分区：
文献类型：
--
作者：
M. Giga;Y. Giga;H. Hontani
对于给定扇区，构造了晶体流的自相似扩展解。该解被证明是唯一的。由于自相似性，问题被简化为求解二次代数方程组。该解是通过连续性方法构造的，并通过求解相关的常微分方程获得。自相似膨胀解可用于从不一定可接受的任意多边形构建晶体流。
For a given sector a self-similar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of self-similarity the problem is reduced to solve a system of algebraic equations of degree two. The solution is constructed by a method of continuity and obtained by solving associated ordinary differential equations. The self-similar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible.