Global mild solution for the Navier--Stokes--Nernst--Planck--Poisson system in Besov-weak-Herz spaces

Autor:	Jianing Xie, Aibo Liu
Rok vydání:	2020
Předmět:	Physics symbols.namesake Mathematics::Analysis of PDEs symbols Initial value problem Nernst equation Uniqueness Electrohydrodynamics Navier stokes Poisson system Planck Mathematical physics
DOI:	10.22541/au.159078078.84005471
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e5b8742c02669e1b806fe31db32b3f8a https://doi.org/10.22541/au.159078078.84005471 Zobrazit plný text záznamu