Year: 2022
Type: preprint
Abstract: We show that the Nernst-Planck-Euler system, which models ionic electrodiffusion in fluids, has global strong solutions for arbitrarily large data in the two dimensional bounded domains. The assumption on species is either there are two species or the diffusivities and the absolute values of ionic valences are the same if the species are arbitrarily many. In particular, the boundary conditions for the ions are allowed to be inhomogeneous. The proof is based on the energy estimates, integration along the characteristic line and the regularity theory of elliptic and parabolic equations.
Source: arXiv (Cornell University)
Authors: Du, Dapeng, Li, Jingyu, Ma, Yansheng, Pang, Ruyi
Institution: Northeast Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3538352258, G3609066801
OpenAlex ID: W4320812427