Title	Remarks about the Poisson-Nernst-Planck equations
Creator	Kinderlehrer, David
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-09-03T16:52
Description	The Poisson-Nernst-Planck system of equations used to model ionic transport is interpreted as a gradient flow for the Wasser- stein distance and a free energy in an appropriate space of probability measures. The interaction term between the species arising from the Gauss law is singular which gives rise to some challenging issues. We give a description of this situation attempting to maintain a minimal technical level including the basic format of the Wasserstein-type im- plicit scheme. This is joint work with L ́eonard Monsaingeon and Xiang Xu.
Extent	40 minutes
Subject	Mathematics; Partial differential equations; Calculus of variations and optimal control; optimization
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Carnegie Mellon University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-03-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0300081
URI	http://hdl.handle.net/2429/57149
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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