Global smooth solutions of the Nernst-Planck-Darcy system
type: Item
instance of: scholarly article
title: Global smooth solutions of the Nernst-Planck-Darcy system
zbMATH Open document ID: 1484.76089
author: Mihaela Ignatova
author: Jingyang Shu
published in: Journal of Mathematical Fluid Mechanics
publication date: 2022-03-14T00:00:00Z
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 7488935
zbMATH Keywords: initial value problem
zbMATH Keywords: ionic electrodiffusion
zbMATH Keywords: global smooth solution
zbMATH Keywords: uniqueness
zbMATH Keywords: higher regularity bound
zbMATH Keywords: elliptic Stokes operator
zbMATH Keywords: Darcy law
MaRDI profile type: Publication
full work available at URL: s00021-022-00666-7
OpenAlex ID: W4210389455
cites work: Long time finite dimensionality in charged fluids
cites work: Global Well-Posedness and Stability of Electrokinetic Flows
cites work: Multi-dimensional electrochemistry model
cites work: Q4040820
cites work: On the Nernst-Planck-Navier-Stokes system
cites work: Interior electroneutrality in Nernst-Planck-Navier-Stokes systems
cites work: Nernst-Planck-Navier-Stokes systems far from equilibrium
cites work: Global weak solutions in three space dimensions for electrokinetic flow processes
cites work: Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system
cites work: Global Solutions of the Nernst--Planck--Euler Equations
cites work: ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM
cites work: Global weak solutions for an incompressible charged fluid with multi-scale couplings: initial-boundary-value problem
cites work: Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics
cites work: Global existence for Nernst-Planck-Navier-Stokes system in \(\mathbb{R}^n\)
cites work: ANALYSIS OF THE NAVIER–STOKES–NERNST–PLANCK–POISSON SYSTEM
cites work: Quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics
cites work: Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics
cites work: Global well-posedness for the Euler-Nernst-Planck-Poisson system in dimension two
cites work: Global well-posedness for the Navier-Stokes-Nernst-Planck-Poisson system in dimension two
cites work: The inviscid limit and well-posedness for the Euler–Nernst–Planck–Poisson system
DOI: 10.1007/S00021-022-00666-7
description: scientific article; zbMATH DE number 7488935