On the global well-posedness and Gevrey regularity of some electrodiffusion models
Analysis of PDEs
2022-11-16 v1
Abstract
We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the fluid evolves according to either the Euler or Darcy's equations, both forced nonlinearly by the electric forces generated by the presence of charged ions. We address the global well-posedness and Gevrey regularity of the resulting electrodiffusion models in the periodic setting.
Keywords
Cite
@article{arxiv.2211.07686,
title = {On the global well-posedness and Gevrey regularity of some electrodiffusion models},
author = {Elie Abdo and Fizay-Noah Lee and Weinan Wang},
journal= {arXiv preprint arXiv:2211.07686},
year = {2022}
}