Constructing Multiply Connected Quadrature Domains
Constructing Multiply Connected Quadrature Domains
复制标题
构造多重连通正交域
DOI：
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发表时间：
2004
影响因子：
1.9
通讯作者：
Jonathan S. Marshall
中科院分区：
文献类型：
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作者：
D. Crowdy;Jonathan S. Marshall
利用Schottky-Klein素函数乘积之比的共形映射，从有限连通的多连通有界求积域的求积数据中重构出了多连通有界求积域。这种方法在许多物理应用中提供了第一作者所构造的单连通和双连通求积域上的保角映射的自然推广。通过一系列实例的显式构造以及与Crowdy（R. Soc. Lond.美国科学院院刊A辑，457（2001），pp. 2337-2359）和Richardson（European J. Appl. Math.，12（2001），pp. 571-599）。
Multiply connected bounded quadrature domains, with finite connectivity, are re- constructed from their quadrature data using conformal mappings that are ratios of products of Schottky-Klein prime functions. This method provides the natural generalization of the conformal maps to simply and doubly connected quadrature domains constructed by the first author in a num- ber of physical applications. The efficacy of the method is demonstrated by the explicit construction of a range of examples as well as by comparison with alternative constructive methods recently in- troduced by Crowdy (R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 457 (2001), pp. 2337-2359) and Richardson (European J. Appl. Math., 12 (2001), pp. 571-599).