International Journal of Mathematics and Mathematical Sciences 
Volume 6 (1983), Issue 1, Pages 81-87
doi:10.1155/S0161171283000058

On singularities of capillary surfaces in the absence of gravity

V. Roytburd

 Lawrence Berkeley Laboratory, University of California, Berkeley 94720, California, USA
Received 16 June 1982

Abstract

We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.