Charged-Surface Instability Development in Liquid Helium; Exact Solutions

Details Charged-Surface Instability Development in Liquid Helium; Exact Solutions Charged-Surface Instability Development in Liquid Helium; Exact Solutions

2000-09-13

arxiv.org/abs/physics/0009041v1

JETP Lett. 71 (2000) 367-369

Physics

Fluid Dynamics

latex, 5 pages, no figures

Scientific paper

10.1134/1.568355

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.

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