Global mild solution for the Navier--Stokes--Nernst--Planck--Poisson
system in Besov-weak-Herz spaces
Abstract
We study a coupled Navier–Stokes–Nernst–Planck–Poisson system
arising from electrohydrodynamics in critical Besov-weak-Herz spaces.
When the initial value sufficiently small, we prove the existence and
uniqueness of global mild solution to the cauchy problem in this spaces
for $n\geq3$. The spaces is larger than some other
known critical spaces.