Regularity Problem for the Nematic LCD System with Q-tensor in ℝ3

  title={Regularity Problem for the Nematic LCD System with Q-tensor in ℝ3},
  author={Mimi Dai},
  journal={SIAM J. Math. Anal.},
  • Mimi Dai
  • Published 26 August 2016
  • Mathematics
  • SIAM J. Math. Anal.
We study the regularity problem of a nematic liquid crystal model with local configuration represented by Q-tensor in three dimensions. It was an open question whether the classical Prodi-Serrin condition implies regularity for this model. Applying a wavenumber splitting method, we show that a solution does not blow-up under certain extended Beale-Kato-Majda condition solely imposed on velocity. This regularity criterion automatically implies that the classical Prodi-Serrin or Beale-Kato-Majda… 

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