Charged-Surface Instability Development in Liquid Helium; Exact Solutions
Fluid Dynamics
2009-11-06 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
The nonlinear dynamics of charged-surface instability development was investigated for liquid helium far above the critical point. It is found that, if the surface charge completely screens the field above the surface, the equations of three-dimensional (3D) potential motion of a fluid are reduced to the well-known equations describing the 3D Laplacian growth process. The integrability of these equations in 2D geometry allows the analytic description of the free-surface evolution up to the formation of cuspidal singularities at the surface.
Cite
@article{arxiv.physics/0009041,
title = {Charged-Surface Instability Development in Liquid Helium; Exact Solutions},
author = {N. M. Zubarev},
journal= {arXiv preprint arXiv:physics/0009041},
year = {2009}
}
Comments
latex, 5 pages, no figures