Liouville and Logarithmic Actions in Laplacian Growth

Abstract

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. 

Topics

Cite this paper

@inproceedings{Vasilev2005LiouvilleAL, title={Liouville and Logarithmic Actions in Laplacian Growth}, author={Alexander N. Vasil’ev}, year={2005} }