On the eigenfunctions for Hookean and FENE dumbbell models

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dc.contributorVirginia Techen
dc.contributor.authorRenardy, Michael J.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-01-31en
dc.date.accessioned2014-01-30T17:54:55Zen
dc.date.available2014-01-30T17:54:55Zen
dc.date.issued2013-09en
dc.description.abstractWe study the linear eigenvalue problem for the distribution function associated with Hookean and FENE dumbbell models. For Hookean dumbbells, the eigenfunctions can be expressed by generalized Laguerre polynomials. The eigenvalue problem for the FENE dumbbell leads to a confluent Heun equation. The first few eigenvalues are calculated numerically. We also calculate these eigenvalues using perturbation of the Hookean case. We show how the knowledge of the eigenvalues and eigenfunctions can be used to construct the stress relaxation modulus. (C) 2013 The Society of Rheology.en
dc.description.sponsorshipNational Science Foundation DMS-1008426en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRenardy, Michael, "On the eigenfunctions for Hookean and FENE dumbbell models," J. Rheol. 57, 1311 (2013); http://dx.doi.org/10.1122/1.4816631en
dc.identifier.doihttps://doi.org/10.1122/1.4816631en
dc.identifier.issn0148-6055en
dc.identifier.urihttp://hdl.handle.net/10919/25233en
dc.identifier.urlhttp://scitation.aip.org/content/sor/journal/jor2/57/5/10.1122/1.4816631en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleOn the eigenfunctions for Hookean and FENE dumbbell modelsen
dc.title.serialJournal of Rheologyen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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