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.

22 pages

References in corpus (2)

• Weil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms
• Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping

Cited by in corpus (1)

• Energy characteristics of subordination chains