有限极距下导电液体荷电表面的平衡态

带电导电液体射流平衡位形的精确解

Exact solutions for equilibrium configurations of charged conducting liquid jets

一类广泛的精确解的问题找到的平衡配置的带电射流的导电液体，这些配置对应于有限振幅的方位角变形的表面的圆形射流。确定了线电荷密度的一个临界值，此时射流表面变为自相交，射流一分为二。它超过了激发圆射流线性方位不稳定性所需的密度值。因此，存在一系列的线性电荷密度值，我们的解决方案可能是稳定的，相对于小的方位角扰动。

在电场中非导电液体带电自由表面处强非线性结构的发展

Development of strongly nonlinear structures at the charged boundary of a non-conducting liquid in an electric field

研究揭示了非导电液体在电场中带电自由表面处强非线性不稳定性发展的两个阶段，以及气泡大小随电场强度增加而增大的现象。

On well-posedness of variational models of charged drops

Electrified liquids are well known to be prone to a variety of interfacial instabilities that result in the onset of apparent interfacial singularities and liquid fragmentation. In the case of electrically conducting liquids, one of the basic models describing the equilibrium interfacial configurations and the onset of instability assumes the liquid to be equipotential and interprets those configurations as local minimizers of the energy consisting of the sum of the surface energy and the electrostatic energy. Here we show that, surprisingly, this classical geometric variational model is mathe…

Study of polyelectrolyte capsule electrophoresis

This paper investigates the problem of electrophoretic motion of a polyelectrolyte capsule with a porous arbitrary charged conducting shell in an electrolyte under the action of an external electric field. The corresponding boundary value problem for the velocity components and pressure in the case of small electrical potentials is analytically solved in quadratures. The solution is analyzed numerically for different values of the specific permeability of the capsule, and the thickness of the porous and the electric double layers. The minimum of electrophoretic velocity dependence on the inver…