电场中导电流体自由表面根奇点的形成
Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field
摘要：
研究了强电场中导电理想流体自由表面奇点的形成。结果表明，二维非线性流体运动方程可以在小角近似下求解。这使我们能够证明，对于几乎任意的初始条件，曲面曲率在有限时间内变为无穷大。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
