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Weak sequential stability for a nonlinear model of nematic electrolytes
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SYSNO ASEP 0537016 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weak sequential stability for a nonlinear model of nematic electrolytes Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Schimperna, G. (IT)
Zarnescu, A. (ES)Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 14, č. 1 (2021), s. 219-241Number of pages 23 s. Language eng - English Country US - United States Keywords Nernst-Planck equation ; Navier-Stokes system ; a-priori estimates ; compactness ; weak-sequential stability Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000595659200012 EID SCOPUS 85098963252 DOI 10.3934/dcdss.2020366 Annotation In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a Nernst-Planck system for the ions concentrations with a Maxwell's equation of electrostatics governing the evolution of the electrostatic potential, a Navier-Stokes equation for the velocity field, and a non-smooth Allen-Cahn type equation for the nematic director field. We focus on the two-species case and prove apriori estimates that provide a weak sequential stability result, the main step towards proving the existence of weak solutions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address http://dx.doi.org/10.3934/dcdss.2020366
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