Very weak solutions for Poisson-Nernst-Planck system

DOI10.1016/j.na.2014.11.018zbMath1309.35021OpenAlexW2009923651MaRDI QIDQ2253887

Rolf J. Ryham, Jay Lawrence Hineman

Publication date: 13 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.11.018

zbMATH Keywords

Poisson-Nernst-Planck systemvery weak solutiondrift-diffusion-Poissonstationary diffuse charge

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items (3)

Boundary asymptotics for a non-neutral electrochemistry model with small Debye length ⋮ Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation ⋮ On a drift-diffusion system for semiconductor devices

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