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Global weak solutions in three space dimensions for electrokinetic flow processes

Global weak solutions in three space dimensions for electrokinetic flow processes 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 $${L^2}$$ L 2 -initial data without any further constraints. Our approach is based on the intrinsic energy structure, Aubin–Simon compactness arguments, and maximal $${L^p}$$ L p -regularity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Global weak solutions in three space dimensions for electrokinetic flow processes

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References (43)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-016-0356-0
Publisher site
See Article on Publisher Site

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 $${L^2}$$ L 2 -initial data without any further constraints. Our approach is based on the intrinsic energy structure, Aubin–Simon compactness arguments, and maximal $${L^p}$$ L p -regularity.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Sep 6, 2016

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