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Zeitschrift für Analysis und ihre Anwendungen

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Volume 9, Issue 5, 1990, pp. 467–471
DOI: 10.4171/ZAA/416

Published online: 1990-10-31

On the Singular Behaviour of Fluid in a Vertical Wedge

Erich Miersemann[1]

(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