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    • Analysis of Asymptotic Solutions for Cusp Problems in Capillarity 

      Aoki, Yasunori (University of Waterloo, 2007-09-27)
      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): ...
    • Floating Bodies with Surface Tension 

      Chen, Hanzhe (University of Waterloo, 2016-08-18)
      Capillary phenomena have been studied by mathematicians and physicists for hundreds of years. In this thesis, both two-dimensional(2D) and three-dimensional(3D) bodies floating on an unbounded reservoir are studied based ...


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