Liouville and logarithmic actions in Laplacian growth

Details Liouville and logarithmic actions in Laplacian growth Liouville and logarithmic actions in Laplacian growth

2005-07-08

arxiv.org/abs/math-ph/0507025v1

Physics

Mathematical Physics

22 pages

Scientific paper

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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