loading page

Global mild solution for the Navier--Stokes--Nernst--Planck--Poisson system in Besov-weak-Herz spaces
  • Aibo Liu,
  • Jianing Xie
Aibo Liu
Liaoning Normal University
Author Profile
Jianing Xie
Dongbei University of Finance and Economics
Author Profile

Peer review status:UNDER REVIEW

28 May 2020Submitted to Mathematical Methods in the Applied Sciences
29 May 2020Assigned to Editor
29 May 2020Submission Checks Completed
30 May 2020Reviewer(s) Assigned

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.