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[00930] Analysis and numerical approximation of energy-variational solutions to the Ericksen--Leslie equations

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @E703
  • Type : Contributed Talk
  • Abstract : The Ericksen--Leslie equations are used to model liquid crystals in their nematic phase. We define the concept of energy-variational solutions for the Ericksen--Leslie equations in three spatial dimensions. This solution concept satisfies the weak-strong uniqueness property. We construct an energy-variational solution with the help of an implementable, structure-inheriting space-time discretization. Computational studies are performed in order to provide some evidence of the applicability of the proposed algorithm.
  • Classification : 65M60, 35A35, 35Q35, 76A15
  • Format : Talk at Waseda University
  • Author(s) :
    • Maximilian Elias Vincenzo Reiter (Technische Universität Berlin)