WIAS Preprint No. 2717, (2020)

Numerical analysis for nematic electrolytes



Authors

  • Baňas, L'ubomír
  • Lasarzik, Robert
  • Prohl, Andreas

2010 Mathematics Subject Classification

  • 35Q35 35Q70 65M60 74E10

Keywords

  • Existence, approximation, Navier-Stokes, Ericksen-Leslie, Nernst-Planck, nematic electrolytes, finite element method, fully discrete scheme, convergence analysis

DOI

10.20347/WIAS.PREPRINT.2717

Abstract

We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting space-time discretization. Computational studies are performed to study the mutual effects of electric, elastic, and viscous effects onto the molecules in a nematic electrolyte.

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