Multiple liquid bridges with non-smooth interfaces

We consider a coexistence of two axisymmetric liquid bridges LB i and LB m of two immiscible liquids i and m which are immersed in a third liquid (or gas) e and trapped between two smooth solid bodies with axisymmetric surfaces S 1 , S 2 and free contact lines. Evolution of liquid bridges allows two different configurations of LB i and LB m with multiple (five or three) interfaces of non-smooth shape. We formulate a variational problem with volume constraints and present its governing equations supplemented by boundary conditions. We find a universal relationship between curvature of the interfaces and discuss the Neumann triangle relations at the singular curve where all liquids meet together.