Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field

Details Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field

2000-09-14

arxiv.org/abs/physics/0009050v1

Phys. Lett. A 243 (1998) 128-131

Physics

Fluid Dynamics

latex, 6 pages, no figures

Scientific paper

10.1016/S0375-9601(98)00282-5

The formation of singularities on a free surface of a conducting ideal fluid
in a strong electric field is considered. It is found that the nonlinear
equations of two-dimensional fluid motion can be solved in the small-angle
approximation. This enables us to show that for almost arbitrary initial
conditions the surface curvature becomes infinite in a finite time.

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