期刊论文

Ying, Jinyong

英文

Nonlinear Analysis: Real World Applications

1468-1218

2019

47

188-203

10.1016/j.nonrwa.2018.10.011

The first author was supported by the National Natural Science Foundation of China (Grant No. 11501053) and the Foundation of Education Department of Hunan (Grant No. 15C0026), and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology). The second author was supported by the initiative research fund from Central South University and the National Natural Science Foundation of China (Grant No. 11701576). And the last author was partially supported by the National Science Foundation, USA, through grant DMS-1226259.

本校为第一机构

In this paper, an improved electrostatic free energy functional is presented as an extension of the one proposed in Xie and Li (2015) to reflect ion size effects. It is then shown to have a unique minimizer, resulting in the solution existence and uniqueness of one commonly-used ion size-modified Poisson–Boltzmann equation (SMPBE). As for applications, SMPBE is used to calculate the electrostatic solvation free energy with the new derived well-defined formula and simulate an electric double layer numerically to demonstrate the advantage of SMP...