For any bounded smooth domain , we establish the global existence of a weak solution of the initial boundary value (or the Cauchy) problem of the simplified Ericksen‐Leslie system LLF modeling the hydrodynamic flow of nematic liquid crystals for any initial and boundary (or Cauchy) data , with (the upper hemisphere). Furthermore, (u,d) satisfies the global energy inequality.
No takes yet. Share an insight, caveat, or question.
Lin et al. (2015) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: