RT Journal Article ID 5477d3615fcbbefa A1 Jutley, Mahnprit S. A1 Ajaev, Vladimir S. T1 FLOQUET ANALYSIS FOR STABILITY OF ELECTROLYTE FILMS ON SUBSTRATES WITH STRONGLY NONUNIFORM CHARGE DENSITY JF Interfacial Phenomena and Heat Transfer JO IPHT YR 2018 FD 2018-09-24 VO 6 IS 2 SP 169 OP 178 K1 electrolyte K1 liquid flow K1 electrical double layer AB We consider steady-state shapes and stability of a liquid electrolyte film on a substrate that is patterned or structured, resulting in a spatially periodic variation of the charge density. The electrical field in the liquid is described using the Debye-Hückel approximation to the classical Poisson-Boltzmann equation. Thin-film approximation is used to model liquid flow arising as a result of the interfacial instability. Steady-state shapes are found numerically for a range of conditions and shown to agree with the asymptotic results for the weak substrate charge nonuniformity. Floquet analysis is used to investigate the stability of the spatially periodic steady-state solutions. Linear stability criteria are found for a range of conditions. Depending on the wavelength of the substrate patterning, the effect can be either stabilizing or destabilizing, with the latter typically observed for smaller pattern wavelengths. PB Begell House LK https://www.dl.begellhouse.com/journals/728e68e739b67efe,22ff6db36ed199bc,5477d3615fcbbefa.html