ABSTRACT
In this paper, we mainly study the Cauchy problem of the Euler–Nernst–Planck–Poisson (ENPP) system. We first establish local well-posedness for the Cauchy problem of the ENPP system in Besov spaces. Then we present a blow-up criterion of solutions to the ENPP system. Moreover, we prove that the solutions of the Navier–Stokes–Nernst–Planck–Poisson system converge to the solutions of the ENPP system as the viscosity ν goes to zero, and the convergence rate is at least of order
.
Acknowledgements
The authors thank the referees for their valuable comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.