On periodic Stokesian Hele-Shaw flows with surface tension

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dc.identifier.uri http://dx.doi.org/10.15488/2691
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2717
dc.contributor.author Escher, J.
dc.contributor.author Matioc, B.-V.
dc.date.accessioned 2018-01-29T14:13:16Z
dc.date.available 2018-01-29T14:13:16Z
dc.date.issued 2008
dc.identifier.citation Escher, J.; Matioc, B.-V.: On periodic Stokesian Hele-Shaw flows with surface tension. In: European Journal of Applied Mathematics 19 (2008), Nr. 6, S. 717-734. DOI: https://doi.org/10.1017/S0956792508007699
dc.description.abstract In this paper we consider a 2π-periodic and two-dimensional Hele-Shaw flow describing the motion of a viscous, incompressible fluid. The free surface is moving under the influence of surface tension and gravity. The motion of the fluid is modelled using a modified version of Darcy's law for Stokesian fluids. The bottom of the cell is assumed to be impermeable. We prove the existence of a unique classical solution for a domain which is a small perturbation of a cylinder. Moreover, we identify the equilibria of the flow and study their stability. Copyright © 2008 Cambridge University Press. eng
dc.language.iso eng
dc.publisher Cambridge : Cambridge University Press
dc.relation.ispartofseries European Journal of Applied Mathematics 19 (2008), Nr. 6
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Hele-Shaw flow eng
dc.subject fluid eng
dc.subject Darcy's law for Stokesian fluids eng
dc.subject.ddc 510 | Mathematik ger
dc.title On periodic Stokesian Hele-Shaw flows with surface tension
dc.type article
dc.type Text
dc.relation.issn 0956-7925
dc.relation.doi https://doi.org/10.1017/S0956792508007699
dc.bibliographicCitation.issue 6
dc.bibliographicCitation.volume 19
dc.bibliographicCitation.firstPage 717
dc.bibliographicCitation.lastPage 734
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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