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Stability of unduloidal and nodoidal menisci between two solid spheres. (English) Zbl 1386.53010

Summary: We find the existence conditions of unduloidal and nodoidal menisc between two solid spheres and study their stability under axisymmetric perturbations in the framework of non-spectral theory of stability of axisymmetric menisc between two axisymmetric solid bodies in the absence of gravity.

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
76B45 Capillarity (surface tension) for incompressible inviscid fluids
76D45 Capillarity (surface tension) for incompressible viscous fluids
53Z05 Applications of differential geometry to physics
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