Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1990-10-31
On the Singular Behaviour of Fluid in a Vertical WedgeErich Miersemann (1) Universität Leipzig, Germany
Solutions of capillary surface equation over domains with corners are considered. It is assumed that the corner is bounded by curves which make an interior angle $2\alpha$ with $0 < 2\alpha < \pi$ and $\alpha + \gamma < \pi /2$, where $\gamma, 0 < \gamma > \pi /2$ is the contact angle between the surface and the container wall. An asymptotic formula for the solutions near the corner is given.
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Miersemann Erich: On the Singular Behaviour of Fluid in a Vertical Wedge. Z. Anal. Anwend. 9 (1990), 467-471. doi: 10.4171/ZAA/416