Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: A unified regularization formulation

作者：

Highlights：

• This work concerns with the convergence of a diffuse interface PB model to the sharp interface PB model.

• The convergences for both the reaction-field potential and electrostatic free energy are rigorously proved.

• This study provides a unified regularization for both sharp interface and diffuse interface PB models.

摘要

•This work concerns with the convergence of a diffuse interface PB model to the sharp interface PB model.•The convergences for both the reaction-field potential and electrostatic free energy are rigorously proved.•This study provides a unified regularization for both sharp interface and diffuse interface PB models.

论文关键词：35J61,35Q92,35A21,35A35,Poisson-Boltzmann equation,Singular charge source,Regularization,Diffuse interface,Sharp interface convergence,Energy convergence

论文评审过程：Received 13 April 2021, Revised 27 July 2022, Accepted 20 August 2022, Available online 31 August 2022, Version of Record 31 August 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127501