Hide metadata

dc.date.accessioned2022-03-02T18:03:44Z
dc.date.available2022-03-02T18:03:44Z
dc.date.created2021-12-02T15:00:46Z
dc.date.issued2021
dc.identifier.citationPedersen, Christian Salez, Thomas Carlson, Andreas . Universal self-similar attractor in the bending-driven levelling of thin viscous films. Proceedings of the Royal Society of London. Biological Sciences. 2021, 477(2254)
dc.identifier.urihttp://hdl.handle.net/10852/91717
dc.description.abstractWe study theoretically and numerically the bending-driven levelling of thin viscous films within the lubrication approximation. We derive Green’s function of the linearized thin-film equation and further show that it represents a universal self-similar attractor at long times. As such, the rescaled perturbation of the film profile converges in time towards the rescaled Green’s function, for any summable initial perturbation profile. In addition, for stepped axisymmetric initial conditions, we demonstrate the existence of another, short-term and one-dimensional-like self-similar regime. We also characterize the convergence time towards the long-term universal attractor in terms of the relevant physical and geometrical parameters, and provide the local hydrodynamic fields and global elastic energy in the universal regime as functions of time. Finally, we extend our analysis to the nonlinear thin-film equation through numerical simulations.
dc.languageEN
dc.publisherRoyal Society Publishing
dc.titleUniversal self-similar attractor in the bending-driven levelling of thin viscous films
dc.typeJournal article
dc.creator.authorPedersen, Christian
dc.creator.authorSalez, Thomas
dc.creator.authorCarlson, Andreas
cristin.unitcode185,15,13,0
cristin.unitnameMatematisk institutt
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2
dc.identifier.cristin1963587
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings of the Royal Society of London. Biological Sciences&rft.volume=477&rft.spage=&rft.date=2021
dc.identifier.jtitleProceedings of the Royal Society of London. Biological Sciences
dc.identifier.volume477
dc.identifier.issue2254
dc.identifier.pagecount0
dc.identifier.doihttps://doi.org/10.1098/rspa.2021.0354
dc.identifier.urnURN:NBN:no-94291
dc.type.documentTidsskriftartikkel
dc.type.peerreviewedPeer reviewed
dc.source.issn0962-8452
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/91717/1/Pedersen2020.pdf
dc.type.versionAcceptedVersion


Files in this item

Appears in the following Collection

Hide metadata