Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck

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Stability of the nonconstant stationary solution to the damped Poisson–Nernst–Planck–Euler equations

Published:2022-05-09 Issue:16 Volume:45 Page:10331-10346
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Shen Rong¹,Wang Yong¹^ORCID

Affiliation:

1. South China Research Center for Applied Mathematics and Interdisciplinary Studies, School of Mathematical Sciences South China Normal University Guangzhou China

Funder

Basic and Applied Basic Research Foundation of Guangdong Province

Guangdong Provincial Pearl River Talents Program

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.8371

Reference19 articles.

1. A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness

2. Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles

3. On the Cauchy problem for a model of electro-kinetic fluid

4. The inviscid limit and well-posedness for the Euler–Nernst–Planck–Poisson system

5. Global well-posedness for the Euler–Nernst–Planck–Poisson system in dimension two

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