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math.DG2016
The Force Singularity for Partially Immersed Parallel Plates
Rajat Bhatnagar, Robert Finn
In earlier work, we provided a general description of the forces of attraction and repulsion, encountered by two parallel vertical plates of infinite extent and of possibly differi…
math.DG2016
On the Capillarity Equation in Two Dimensions
Rajat Bhatnagar, Robert Finn
We study the capillarity equation from the global point of view of behavior of its solutions without explicit regard to boundary conditions. We show its solutions to be constrained…