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dc.contributor.authorSchweizer, Ben-
dc.date.accessioned2010-03-04T13:20:13Z-
dc.date.available2010-03-04T13:20:13Z-
dc.date.issued2005-04-19-
dc.identifier.citationBen Schweizer, On the three-dimensional Euler equations with a free boundary subject to surface tension, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 22, Issue 6, November-December 2005, Pages 753-781, ISSN 0294-1449, DOI: 10.1016/j.anihpc.2004.11.001.de
dc.identifier.issn0294-1449-
dc.identifier.urihttp://hdl.handle.net/2003/26961-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-989-
dc.description.abstractWe study an incompressible ideal fluid with a free surface that is subject to surface tension; it is not assumed that the fluid is irrotational. We derive a priori estimates for smooth solutions and prove a short-time existence result. The bounds are obtained by combining estimates of energy type with estimates of vorticity type and rely on a careful study of the regularity properties of the pressure function. An adequate artificial coordinate system is used instead of the standard Lagrangian coordinates. Under an assumption on the vorticity, a solution to the Euler equations is obtained as a vanishing viscosity limit of solutions to appropriate Navier–Stokes systems.en
dc.language.isoende
dc.publisherElsevierde
dc.rights© 2005 Elsevier SAS. All rights reserved.-
dc.subject.ddc510-
dc.titleOn the three-dimensional Euler equations with a free boundary subject to surface tensionen
dc.typeTextde
dc.identifier.doi10.1016/j.anihpc.2004.11.001-
dc.type.publicationtypearticlede
dc.identifier.urlhttp://dx.doi.org/10.1016/j.anihpc.2004.11.001-
dcterms.accessRightsopen access-
Appears in Collections:Schweizer, Ben Prof. Dr.

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