Weak sequential stability for a nonlinear model of nematic electrolytes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00537016" target="_blank" >RIV/67985840:_____/21:00537016 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2020366" target="_blank" >http://dx.doi.org/10.3934/dcdss.2020366</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2020366" target="_blank" >10.3934/dcdss.2020366</a>

Result language
angličtina
Original language name
Weak sequential stability for a nonlinear model of nematic electrolytes
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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