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Classical solvability of the stationary free boundary problem describing the interface formation between two immiscible fluids

Classical solvability of the stationary free boundary problem describing the interface formation... Stationary free boundary problems related to the formation of the interface between two immiscible fluids are investigated. The corresponding models were introduced originally by Shikhmurzaev to remove singularities arising in contact-line problems. We consider two models which are derived under different assumptions for the structure of the interfacial layer, and prove the existence of rotationally symmetric solutions in Hölder spaces for a sufficiently small rotationally symmetric external force. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Classical solvability of the stationary free boundary problem describing the interface formation between two immiscible fluids

Analysis and Mathematical Physics , Volume 6 (2) – Sep 21, 2015

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0110-8
Publisher site
See Article on Publisher Site

Abstract

Stationary free boundary problems related to the formation of the interface between two immiscible fluids are investigated. The corresponding models were introduced originally by Shikhmurzaev to remove singularities arising in contact-line problems. We consider two models which are derived under different assumptions for the structure of the interfacial layer, and prove the existence of rotationally symmetric solutions in Hölder spaces for a sufficiently small rotationally symmetric external force.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Sep 21, 2015

References