Lie point symmetries and reductions of one-dimensional equations describing perfect Korteweg-type nematic fluids

Giovanni De Matteis, Luigi Martina

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    A system of partial differential equations, describing one-dimensional nematic liquid crystals is studied by Lie group analysis. These equations are the Euler–Lagrange equations associated with a free energy functional that depends on the mass density and the gradient of the mass density. The group analysis is an algorithmic approach that allows us to show all the point symmetries of the system, to determine all possible symmetry reductions and, finally, to obtain invariant solutions in the form of travelling waves. The Hamiltonian formulation of the dynamical equations is also considered and the conservation laws found by exploiting the local symmetries.
    Original languageEnglish
    Pages (from-to)033101
    JournalJournal of Mathematical Physics
    Volume53
    Issue number3
    DOIs
    Publication statusPublished - 2012

    Fingerprint Dive into the research topics of 'Lie point symmetries and reductions of one-dimensional equations describing perfect Korteweg-type nematic fluids'. Together they form a unique fingerprint.

    Cite this