Invariant solutions of surfactant-driven flows View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-11

AUTHORS

C. Calmelet, V. Rosenhaus, C. Squellati

ABSTRACT

We consider a localized surfactant monolayer on the free surface of a thin viscous film. Flows generated by a gradient in surfactant concentration are described by a nonlinear system of PDE’s (Jensen’s equations). We study classical Lie symmetries of this system and discuss the classes of its invariant and partially invariant solutions. We derive corresponding reduced systems and find several classes of analytic solutions of Jensen’s equations. We discuss the properties and physical meaning of these solutions. More... »

PAGES

4319-4337

References to SciGraph publications

  • 1989. Symmetries and Differential Equations in NONE
  • 2001-07. A model for thermal Marangoni drying in JOURNAL OF ENGINEERING MATHEMATICS
  • Journal

    TITLE

    Acta Mechanica

    ISSUE

    11

    VOLUME

    229

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00707-018-2231-2

    DOI

    http://dx.doi.org/10.1007/s00707-018-2231-2

    DIMENSIONS

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