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, Joachim
|
|
dc.contributor.author |
Matioc, Bogdan-Vasile
|
|
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 |
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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 |
|