| Abstract: |
| In this talk, 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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