IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-13344-7_26.html
   My bibliography  Save this book chapter

Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

Listed:
  • Matthias Hieber

    (Technische Universität Darmstadt, Angewandte Analysis, Fachbereich Mathematik
    Benedum Engineering Hall, University of Pittsburgh)

  • Jan W. Prüss

    (Martin-Luther-Universität, Halle-Wittenberg, Institut für Mathematik)

Abstract

This survey article discusses various aspects of modeling and analysis of the Ericksen-Leslie equations describing nematic liquid crystal flow both in the isothermal and non-isothermal situation. Of special interest is the development of thermodynamically consistent Ericksen-Leslie models in the general situation based on the entropy principle. The full analytical understanding of the dynamics of the underlying system is then based on this principle and gives rise to a rather complete understanding of the dynamics of this system. Furthermore, well-posedness and long-time behavior results in the weak and strong sense are described for the general Ericksen-Leslie system and various simplifications, ranging from the simplified and penalized model, with or without stretching terms, to the case of general Leslie stress both for incompressible and compressible fluids.

Suggested Citation

  • Matthias Hieber & Jan W. Prüss, 2018. "Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 23, pages 1075-1134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_26
    DOI: 10.1007/978-3-319-13344-7_26
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-13344-7_26. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.