16 citations · 64 across the 28 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
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…
physics.flu-dyn2005
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…
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…