On the existence of central fans of capillary surfaces
We prove that under some conditions, the central fans of capillary surfaces exist and are stable. We perturb the contact angle of a capillary surface for a bounded domain which is not necessarily symmetric, that has a central fan, and prove that the central fan will continue to exist after the perturbation. We prove the result for some smooth conditions with sufficient regularity. We provide examples to illustrate the existence and stability of central fans.
Thesis (Ph.D.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics