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

N. M. Zubarev

doi:10.1016/s0375-9601(98)00282-5

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

N. M. Zubarev

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Abstract

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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BibTeX RIS

N. M. Zubarev. 2000-09-14. Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field. https://doi.org/10.1016/s0375-9601(98)00282-5

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