Perturbation solutions for the nonlinear Poisson-Boltzmann equation with a high-order-accuracy Debye-Hückel approximation

DOI10.1007/s00033-020-01367-9zbMath1464.35339OpenAlexW3046915309MaRDI QIDQ2023676

Min Zeng, Cunlu Zhao, Qiuwang Wang

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01367-9

zbMATH Keywords

perturbation solutionPoisson-Boltzmann equationelectric double layerDebye-Hückel approximation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Perturbations in context of PDEs (35B20) Electro- and magnetostatics (78A30) Boltzmann equations (35Q20) Electrochemistry (78A57)

Cites Work

• Unnamed Item
• Transient electroosmotic flow of general Maxwell fluids through a slit microchannel
• Boundary asymptotics for a non-neutral electrochemistry model with small Debye length
• A nonlinear differential equation related to the Jacobi elliptic functions
• Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices
• The exact solution to the one-dimensional Poisson-Boltzmann equation with asymmetric boundary conditions
• Lattice evolution solution for the nonlinear Poisson-Boltzmann equation in confined domains
• A singularly perturbed nonlinear Poisson-Boltzmann equation: uniform and super-asymptotic expansions
• Nonlinear electrostatics: the Poisson–Boltzmann equation
• Asymptotic analysis of the perturbed Poisson–Boltzmann equation on unbounded domains