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Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows

Bonito, Andrea ; Clément, Philippe ; Picasso, Marco

In: Journal of Evolution Equations, 2006, vol. 6, no. 3, p. 381-398

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    Titre
    • Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows
    Auteur
    • Bonito, Andrea. Institut d'Analyse et Calcul Scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
    • Clément, Philippe. Mathematical Institute, Leiden University, P.O. Box 9512, NL-2300 RA, Leiden, The Netherlands
    • Picasso, Marco. Institut d'Analyse et Calcul Scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Journal of Evolution Equations, 2006, vol. 6, no. 3, p. 381-398. Birkhäuser-Verlag; www.birkhäuser.ch
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:311007
    Summary
    Abstract.: A stochastic model corresponding to a simplified Hookean dumbbells viscoelastic fluid is considered, the convective terms being disregarded. Existence on a fixed time interval is proved provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem