Stability for a liquid bridge between two solid balls is studied by cutting and scaling pieces of a standardized family of Delaunay surfaces. This theoretical framework is used to analyze the problemâ€¦ (More)

A liquid bridge between two balls will have a free surface which has constant mean curvature, and the angles of contact between the free surface and the fixed surfaces of the balls will be constantâ€¦ (More)

Assume that I and J are smooth functionals defined on a Hilbert space H. We derive sufficient conditions for I to have a local minimum at y subject to the constraint that J is constantly J(y). Theâ€¦ (More)

A geometrical argument is outlined to show the (already known) instability of an inflected liquid bridge between parallel planes in the case of equal contact angles. In contrast to the behavior ofâ€¦ (More)

In [4], stability of bubble clusters is characterized in terms of a quadratic form defined on the surfaces, which is then used to prove that the nonstandard double bubble is unstable. Since quadraticâ€¦ (More)