Laplacian增长中的Liouville和对数作用
Liouville and logarithmic actions in Laplacian growth
摘要:
讨论并构造了单连通Laplacian增长的作用泛函(对数作用),得到了它的变分形式。这种变化可以有各种解释。特别地,我们考虑了一般的光滑从属演化,并给出了与维拉索罗代数和Neretin多项式的联系。
英文摘要:
We discuss and construct an action functional (logarithmic action) for the simply connected Laplacian growth and obtain its variation. This variation admits various interpretations. In particular, we consider a general smooth subordination evolution and give connections with the Virasoro algebra and Neretin polynomials.
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