• Title of article

    Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

  • Author/Authors

    Wang، نويسنده , , Yanan and Zhou، نويسنده , , Yong and Alsaedi، نويسنده , , Ahmed and Hayat، نويسنده , , Tasawar and Jiang، نويسنده , , Zaihong، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2014
  • Pages
    6
  • From page
    18
  • To page
    23
  • Abstract
    In this paper, we consider the global regularity for the 2D generalized liquid crystal model with the fractional diffusion term − Λ 2 α u for the velocity field and − Λ 2 β d for the vector field modeling the orientation of the crystal molecules. Global existence of smooth solutions is proved for the case α = 0 , β > 1 .
  • Keywords
    Liquid crystal model , global regularity , Fractional diffusion
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2014
  • Journal title
    Applied Mathematics Letters
  • Record number

    1529320