Invariant regions for the Nernst-Planck equations

DOI10.1007/BF01783677zbMath0954.35152MaRDI QIDQ1570176

Giovanni Cimatti, Ilaria Fragalà

Publication date: 5 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionselectric potentialNernst-Planck equationsNavier-Stokes systemmodel describing ionic concentrationsvelocity field in an electrolytic solution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Navier-Stokes equations (35Q30) Motion of charged particles (78A35)

Related Items (5)

Nanoscale Poiseuille flow of charged particles ⋮ Quasi-neutral limit and the boundary layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics ⋮ Weak sequential stability for a nonlinear model of nematic electrolytes ⋮ Quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics ⋮ Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics

Cites Work

• Positivity for elliptic and parabolic systems
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
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