Analysis of Asymptotic Solutions for Cusp Problems in Capillarity
The capillary surface $u(x,y)$ near a cusp region satisfies the boundary value problem: \begin{eqnarray} \nabla \cdot \frac{\nabla u}{\sqrt{1+\left|\nabla u \right|^2}}&=&\kappa u \qquad \textrm{in }\left\{(x,y): 0<x,f_2(x)<y<f_1(x)\right\}\,, \label{0.1}\\ \nu \cdot \frac{\nabla u}...
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| Language: | en |
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2007
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| Online Access: | http://hdl.handle.net/10012/3352 |