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Wichita State University

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.

Author and committee

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Author
  • Khanfer, Ammar

Identifiers

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Identifier
hdl:10057/6726
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/6726

Chain of custody

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Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
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citation

Khanfer, Ammar. On the existence of central fans of capillary surfaces. 2013.