PROPERTIES OF ANNULAR CAPILLARY SURFACES WITH EQUAL CONTACT ANGLES

摘要

We consider an annular region Omega subset of R-2 and analyze the capillary surface z = u(x, y) formed within an annular cylinder Omega x R. Assuming identical contact angles gamma along the inner and outer boundaries, we determine several qualitative properties of the surface. In particular, we examine the behavior of u in the limiting cases of Omega approaching a disk, a thin ring, and the exterior of a disk.