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math-ph2005★ 1 cited
Energy characteristics of subordination chains
Alexander Vasil'ev
We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the L…
math-ph2005★ 2 cited
Liouville and logarithmic actions in Laplacian growth
Alexander Vasil'ev
We discuss and construct an action functional (logarithmic action) for the simply connected Laplacian growth and obtain its variation. This variation admits various interpretations…