On the global well-posedness and Gevrey regularity of some electrodiffusion models

Elie Abdo; Fizay-Noah Lee; Weinan Wang

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arXiv · 2211.07686

On the global well-posedness and Gevrey regularity of some electrodiffusion models

Elie Abdo·Fizay-Noah Lee·Weinan Wang

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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.

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Elie Abdo, Fizay-Noah Lee, Weinan Wang. 2022-11-14. On the global well-posedness and Gevrey regularity of some electrodiffusion models. https://arxiv.org/abs/2211.07686

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