On capillary free surfaces in the absence of gravity. (English) Zbl 0382.76003
Summary: The authors prove various existence and non-existence theorems for solutions of the differential equation for a surface film bounded by various shapes of cylinder. Some experiments on freely falling cylinders are quoted and it is claimed that the shapes of film seen are in accordance with theory.
Reviewer: H. N. V. Temperley
MSC:
| 76A20 | Thin fluid films |
| 76D99 | Incompressible viscous fluids |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35J67 | Boundary values of solutions to elliptic equations and elliptic systems |
| 53A10 | Minimal surfaces in differential geometry, surfaces with prescribed mean curvature |
References:
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