NERNST-PLANCK

作品数:30被引量:20H指数:2
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相关领域:理学更多>>
相关作者:杨大勇李鸣贺赵霞刘莹申力更多>>
相关机构:南昌大学桂林电子科技大学东北师范大学宝鸡文理学院更多>>
相关期刊:《高等学校计算数学学报》《Journal of Computational Mathematics》《Chinese Journal of Chemical Engineering》《吉林大学学报(理学版)》更多>>
相关基金:国家自然科学基金中国博士后科学基金陕西省自然科学基金北京市自然科学基金更多>>
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分数阶Nernst-Planck-Poisson-Navier-Stokes模型古典解的全局存在唯一性
《扬州大学学报(自然科学版)》2024年第6期56-62,共7页采子航 雷玉柱 刘祖汉 周玲 
江苏省自然科学基金资助项目(BK20191436).
研究三维情形下一个分数阶Nernst-Planck-Poisson-Navier-Stokes模型的Cauchy问题,通过能量估计和迭代方法证明小初值条件下该模型古典解的全局存在唯一性。
关键词:Nernst-Planck-Poisson-Navier-Stokes模型 能量估计 古典解 全局存在唯一性 
Poisson-Nernst-Planck方程组大解的整体存在性的一个新证明方法
《宝鸡文理学院学报(自然科学版)》2024年第3期1-4,共4页陈浩 靳荣 赵继红 
国家自然科学基金项目(11961030);陕西省自然科学基金项目(2022JM-034)。
目的研究来源于半导体理论中刻画带电粒子漂移和扩散现象的Poisson-Nernst-Planck方程组,建立该方程组大解的整体存在性。方法利用加权法、扰动法和反证法进行研究。结果通过引入新的权函数建立了扰动方程在Chemin-Lerner混合时空空间...
关键词:Poisson-Nernst-Planck方程组 大解 整体存在性 BESOV空间 
Memristor Hypothesis in Malignant Charge Distribution
《Open Journal of Biophysics》2023年第4期51-92,共42页Andras Szasz 
Tissues in biological objects from the point of view of electromagnetic effects must be modeled not only for their conductivity. The ionic double layer induced by the electric field, built by electrolytic diffusion, m...
关键词:MALIGNANCY TUMORS MEMRISTOR Imperfect Dielectrics Heterogeneity Charge Distribution Injury Current Nernst-Planck Cell 
Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels:A Review
《Communications in Mathematical Research》2023年第3期342-385,共44页Weishi Liu 
supported by Simons Foundation Mathematics and Physical Sciences-Collaboration Grants for Mathematicians 581822。
Poisson-Nernst-Planck systems are basic models for electrodiffusion process,particularly,for ionic flows through ion channels embedded in cell membranes.In this article,we present a brief review on a geometric singula...
关键词:Ion channel ionic flow Poisson-Nernst-Planck models 
A Structure-Preserving JKO Scheme for the SizeModified Poisson-Nernst-Planck-Cahn-Hilliard Equations
《Numerical Mathematics(Theory,Methods and Applications)》2023年第1期204-229,共26页Jie Ding Xiang Ji 
J.Ding was supported by the Natural Science Foundation of Jiangsu Province(Grant BK20210443);by the National Natural Science Foundation of China(Grant 12101264);by the Shuangchuang program of Jiangsu Province(Grant 1142024031211190)。
In this paper,we propose a structure-preserving numerical scheme for the size-modified Poisson-Nernst-Planck-Cahn-Hilliard(SPNPCH)equations derived from the free energy including electrostatic energies,entropies,steri...
关键词:Structure-preserving size-modified Poisson-Nernst-Planck-Cahn-Hilliard equations JKO framework POSITIVITY 
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations
《Communications in Computational Physics》2022年第6期41-82,共42页Lei Li Jian-Guo Liu Yijia Tang 
This work is partially supported by the National Key R&D Program of China,Project Number 2021YFA1002800;The work of L.Li was partially sponsored by the Strategic Priority Research Program of Chinese Academy of Sciences,Grant No.XDA25010403,and NSFC 11901389,12031013;The work of J.-G.Liu was supported by NSF DMS-2106988.
We consider in this paper random batch interacting particle methods forsolving the Poisson-Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann(PB) equation as the equilibrium, in the external unbounded domai...
关键词:Interacting particle systems Coulomb interaction reflecting stochastic differential equation charge reversal phenomenon singular-regular decomposition 
THE TIME DECAY RATES OF THE CLASSICAL SOLUTION TO THE POISSON-NERNST-PLANCK-FOURIER EQUATIONS IN R^(3)
《Acta Mathematica Scientia》2022年第3期1081-1102,共22页Leilei TONG Zhong TAN Xu ZHANG 
supported by the National Natural Science Foundation of China(12001077);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000618);Chongqing University of Posts and Telecommunications startup fund(A2018-128);supported by the National Natural Science Foundation of China(11926316,11531010);supported by National Natural Science Foundation of China(11901537)。
In this work,the Poisson-Nernst-Planck-Fourier system in three dimensions is considered.For when the initial data regards a small perturbation around the constant equilibrium state in a H^(3)∩■^(-s)(0≤s≤1/2)norm,w...
关键词:Poisson-Nernst-Planck-Fourier system decay rates energy method 
基于Poisson-Nernst-Planck模型细胞膜离子通道的离子流动力学分析
《数学建模及其应用》2022年第2期1-10,共10页张丽俊 王怡玮 
国家自然科学基金(12172199)。
嵌在生物细胞膜上的离子通道是维持细胞内外环境物质交换的重要通道,离子流通过时产生电信号,进而控制生物众多与生命相关的功能,掌握通过离子通道的离子流的动力学性质至关重要.Poisson-Nernst-Planck(PNP)方程是基于把离子穿过离子通...
关键词:Poisson-Nernst-Planck系统 几何奇异摄动理论 离子流 离子通道 
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap
《Communications in Computational Physics》2022年第3期707-738,共32页Antonio Raudino Antonio Grassi Giuseppe Lombardo Giovanni Russo Clarissa Astuto Mario Corti 
A.R.,G.L.and A.G.thank the University of Catania(Piano della Ricerca di Ateneo 2016-2018)for partial financial support;G.R.and C.A.thank ITN-ETN Horizon 2020 Project ModCompShock,Modeling and Computation on Shocks and Interfaces,Project Reference 642768;the Italian Ministry of Instruction,University and Research(MIUR)to support this research with funds coming fromPRIN Project 2017(No.2017KKJP4X)entitled"Innovative numerical methods for evolutionary partial differential equations and applications".
In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the(oscillating)cell membr...
关键词:Spherycal trap quasi-neutrality finite differences Coulomb potential Poisson-Nernst-Planck system ADI discretization semi-implicit scheme 
基于电-化学耦合软黏土电渗试验离子迁移数值模拟
《中国水运(下半月)》2022年第2期156-158,共3页吴迪 
基于饱和土体和电化学理论,由于软黏土体结构和土体孔隙溶液对土体中离子迁移有着重要的影响,故建立软黏土电渗过程中离子迁移多场耦合数学模型。本文采用ComsolMultiphysics有限元软件用电化学模块和化学物质传递模块两者进行耦合,通过...
关键词:Comsol-Multiphysics数值模拟 电渗 Nernst-Planck-poisson方程 离子迁移 
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