Browsing Mathematics, Statistics, and Physics by Subject "Capillary graph"
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Behavior of some CMC capillary surfaces at convex corners
(Pacific Journal of Mathematics at the University of California, 200604)We construct examples of nonparametric surfaces z = h(x, y) of zero mean curvature which satisfy contact angle boundary conditions in a cylinder in R3 over a convex domain with corners. When the contact angles for ... 
CMC capillary surfaces at reentrant corners
(Pacific Journal of Mathematics at the University of California, 200802)For a capillary graph in a vertical cylinder × R R3, the existence of a reentrant corner P 2 @ makes the determination of the continuity at P (or the behavior of the radial limits at P) of the solution problematic. ...