Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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WEAK SOLUTIONS OF GRADIENT FLOW OF LANDAU-DE GENNES ENERGY

  • Park, Jinhae (Department of Mathematics Chungnam National University)
  • Received : 2013.07.11
  • Accepted : 2013.07.30
  • Published : 2013.08.15
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Abstract

Taking into account the flexoelectric effects, we consider a gradient flow of Landau-de Gennes energy which generalizes the Oseen-Frank energy. In this article, we discuss existence of weak solutions of the gradient flow in an appropriate function space.

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References

  1. G. Barbero and L. R. Evangelista, An elementary course on the continuum theory for nematic liquid crystals, World Scientific, 2001.
  2. P. G. de Gennes, The Physics Of Liquid Crystals, Oxford, 1974.
  3. R. McOwen, Partial Differential Equations, Prentice Hall, 1995.
  4. J. Park, Existence of periodic solutions in ferroelectric liquid crystals, J. of Chungcheong Math. Soc. 23 (2010), 571-588.
  5. M. Taylor, Partial Differential Equations III, nonlinear equations, Springer-Verlag, New York, Berlin, Heidelberg.
  6. R. Temam, Navier-Stokes Equations, theory and numerical analysis, AMS Chelsea, 2001.