Weak sequential stability for a nonlinear model of nematic electrolytes
نویسندگان
چکیده
In this article we study a system of nonlinear PDEs modelling the electrokinetics nematic electrolyte material consisting various ions species contained in liquid crystal. style='text-indent:20px;'>The evolution is described by coupling Nernst-Planck for concentrations with Maxwell's equation electrostatics governing electrostatic potential, Navier-Stokes velocity field, and non-smooth Allen-Cahn type director field. style='text-indent:20px;'>We focus on two-species case prove apriori estimates that provide weak sequential stability result, main step towards proving existence solutions.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2021
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2020366