Asymptotic analysis of the Poisson–Boltzmann equation describing electrokinetics in porous media

2012/12/15 by Gregoire Allaire, Grégoire Allaire, Jean‐François Dufrêche +4 · 21 citations
Chemistry · Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Asymptotic analysis #Boundary value problem #Charge density #Chemistry #Debye length #Electrokinetic phenomena #Electrostatics and Colloid Interactions #Geophysical and Geoelectrical Methods #Ion #Mathematical analysis #Mathematics #Microfluidic and Bio-sensing Technologies #Physics #Poisson's equation #Poisson–Boltzmann equation #Quantum mechanics #Surface charge #math-ph #math.AP #math.MP

paper · pdf · doi:10.1088/0951-7715/26/3/881

published in Nonlinearity 26(3), 881-910 (IOP Publishing)

arxiv created 2012/12/15 · openalex publication_date 2013/02/13 · arxiv updated 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

International audience

Citations

• Elliptic Partial Differential Equations of Second Order

Cited by

• Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations