Journal
KINETIC AND RELATED MODELS
Volume 11, Issue 1, Pages 119-135Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2018007
Keywords
Generalized Poisson-Nernst-Planck model; mass balance; nonlinear boundary reaction; interface jump; energy and entropy estimates
Categories
Funding
- OeAD Scientific & Technological Cooperation [WTZ CZ 01/2016]
- [IGDK1754]
- Austrian Science Fund (FWF) [P26147, W1244] Funding Source: Austrian Science Fund (FWF)
Ask authors/readers for more resources
In this paper a mathematical model generalizing Poisson-Nernst-Planck system is considered. The generalized model presents electrokinetics of species in a two-phase medium consisted of solid particles and a pore space. The governing relations describe cross-diffusion of the charged species together with the overall electrostatic potential. At the interface between the pore and the solid phases nonlinear electro-chemical reactions are taken into account provided by jumps of field variables. The main advantage of the generalized model is that the total mass balance is kept within our setting. As the result of the variational approach, well-posedness properties of a discontinuous solution of the problem are demonstrated and supported by the energy and entropy estimates.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available