{"id":{"repo_id":"wichita-thes","oai_identifier":"oai:null:10057/6726"},"canonical_url":"https://search.dev.ndltd.org/etd/wichita-thes/oai:null:10057/6726","repository":{"repo_id":"wichita-thes","name":"Wichita State University","base_url":"https://soar.wichita.edu/oai/request"},"display":{"title":"On the existence of central fans of capillary surfaces","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Khanfer, Ammar"],"institution":"Wichita State University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Lancaster, Kirk E."],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-05","date_published":"2013-05","updated_at":"2026-08-21T16:50:43Z","subjects":[],"languages":["en_US"],"rights":["Copyright Ammar Khanfer, 2013"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["d13010"],"render_values":[{"text":"d13010","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10057/6726","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"source_record":{"url":"https://soar.wichita.edu/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Anull%3A10057%2F6726","prefix":"dim"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Lancaster, Kirk E."]},{"key":"dc:creator","label":"Author","values":["Khanfer, Ammar"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2013-11-14T22:50:19Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2013-11-14T22:50:19Z"]},{"key":"dc:date.issued","label":"Date","values":["2013-05"]},{"key":"dc:publisher","label":"Institution","values":["Wichita State University"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright Ammar Khanfer, 2013"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["d13010"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10057/6726"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (Ph.D.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics"]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["On the existence of central fans of capillary surfaces"]}]}],"canonical_facts":{"dc:contributor.advisor":["Lancaster, Kirk E."],"dc:creator":["Khanfer, Ammar"],"dc:date.accessioned":["2013-11-14T22:50:19Z"],"dc:date.available":["2013-11-14T22:50:19Z"],"dc:date.issued":["2013-05"],"dc:description":["Thesis (Ph.D.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics"],"dc:description.abstract":["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."],"dc:identifier.other":["d13010"],"dc:identifier.uri":["http://hdl.handle.net/10057/6726"],"dc:language.iso":["en_US"],"dc:publisher":["Wichita State University"],"dc:rights":["Copyright Ammar Khanfer, 2013"],"dc:title":["On the existence of central fans of capillary surfaces"],"dc:type":["Dissertation"]},"updated_at":"2026-08-21T16:50:43Z"}