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.

Grantor dc:publisher

Wichita State University

Year dc:date.issued

2013

Author dc:creator

• Khanfer, Ammar

Advisor dc:contributor.advisor

• Lancaster, Kirk E.

Statement dc:rights

• Copyright Ammar Khanfer, 2013

Language dc:language.iso

en_US

Dc Identifier Other

d13010

OAI record oai:identifier

https://soar.wichita.edu/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Anull%3A10057%2F6726