2 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
Generalizations of Kadanoff's solution of the Saffman-Taylor problem in a wedge
Irina Markina, Rodrigo Meneses, Alexander Vasil'ev
We consider a zero-surface-tension two-dimensional Hele-Shaw flow in an infinite wedge. There exists a self-similar interface evolution in this wedge, an analogue of the famous Saf…
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…
Optimal control in Bombieri's and Tammi's conjectures
Dmitri Prokhorov, Alexander Vasil'ev
Let stand for the usual class of univalent regular functions in the unit disk normalized by in , and let be its subclass defined b…
Evolution dynamics of conformal maps with quasiconformal extensions
Alexander Vasil'ev
We study one-parameter curves on the universal Teichmüller space and on the homogeneous space $M=\Diff S^1/\Rot S^1$ embedded into . As a result, we deduce evolution equatio…