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

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.

arXiv commentlatex, 6 pages, no figures

Cited by in corpus (7)

• Oscillatory Finite-Time Singularities in Finance, Population and Rupture
• Positive Feedback, Memory and the Predictability of Earthquakes
• Singularity formation on a fluid interface during the Kelvin-Helmholtz instability development
• Formation of weak singularities on the surface of a dielectric fluid in a tangential electric field
• Classification of Possible Finite-Time Singularities by Functional Renormalization
• Mechanisms of Dendrites Occurrence during Crystallization: Features of the Ice Crystals Formation
• Finite-time singularity in the evolution of hyperinflation episodes