<div class="csl-bib-body">
<div class="csl-entry">Hirvonen, P. (2024). Analysis of a Poisson-Nernst-Planck System with Steric Effect. In <i>Complexity of Life Conference: Bridging complexity scales and biological systems</i> (pp. 39–39).</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/201611
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dc.description.abstract
This talk presents an analysis of a modified Poisson-Nernst-Planck system with so-called steric effect for an arbitrary number of species, modeling ion transport in a small domain. The additional term appearing in the equations was suggested by Lin and Eisenberg, aiming to include ion sizes, which are not taken into account in the original Poisson-Nernst-Planck equations. The focus of this talk lies in the mathematical treatment of the equations, proving global existence of weak solutions using the boundedness-by-entropy method, as well as the weak-strong uniqueness property, which is shown by means of a relative entropy inequality. Moreover, other topics, such as the boundedness of weak solutions and long-time behaviour are discussed.
en
dc.language.iso
en
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dc.subject
Cross-Diffusion Equations
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dc.subject
Entropy Methods
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dc.subject
Existence
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dc.subject
Weak-Strong Uniqueness
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dc.title
Analysis of a Poisson-Nernst-Planck System with Steric Effect
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.description.startpage
39
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dc.description.endpage
39
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dc.type.category
Poster Contribution
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tuw.booktitle
Complexity of Life Conference: Bridging complexity scales and biological systems
