Abstract
For a Navier–Stokes–Nernst–Planck–Poisson system we construct global weak solutions in a three-dimensional bounded domain. A special feature of our approach is that we allow for nonconstant diffusion coefficients which may vary from species to species as well as for \({L^2}\)-initial data without any further constraints. Our approach is based on the intrinsic energy structure, Aubin–Simon compactness arguments, and maximal \({L^p}\)-regularity.
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