Numerical analysis for nematic electrolytes
- Baňas, L'ubomír
- Lasarzik, Robert
- Prohl, Andreas
2010 Mathematics Subject Classification
- 35Q35 35Q70 65M60 74E10
- Existence, approximation, Navier-Stokes, Ericksen-Leslie, Nernst-Planck, nematic electrolytes, finite element method, fully discrete scheme, convergence analysis
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.