A Painleve II model in two-ion electrodiffusion with radiation boundary conditions

被引：8

作者：

Amster, Pablo ^{[1
]}

Kwong, Man Kam ^{[2
]}

Rogers, Colin ^{[3
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1053 Buenos Aires, DF, Argentina

[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

[3] Univ New S Wales, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sch Math, Sydney, NSW 2052, Australia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 16卷

关键词：

ELECTRICAL STRUCTURES; STEADY ELECTROLYSIS; INTERFACES;

D O I：

10.1016/j.nonrwa.2013.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence, uniqueness, and multiplicity properties are established via a variational formulation for a Painleve II model subject to radiation boundary conditions in two-ion electrodiffusion. Numerical experiments using an adapted shooting method are also presented to support the theoretical results. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：120 / 131

页数：12

共 50 条

[31] Uniqueness of the Two Functional Coefficients in the Population-Model Boundary Conditions
Shcheglov A.Y.
Computational Mathematics and Modeling, 2021, 32 (3) : 286 - 296
[32] Magnetic and thermodynamic properties of DyFe2Si2 further investigated with crystal-field theory and two-ion model
Liu, Z. -S.
Divis, M.
Sechovsky, V.
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 2010, 71 (10) : 1447 - 1450
[33] Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains
Thompson, LL
Huan, RN
He, DT
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 191 (3-5) : 311 - 351
[34] Quantum singular oscillator as a model of a two-ion trap: An amplification of transition probabilities due to small-time variations of the binding potential
Dodonov, VV
Man'ko, VI
Rosa, L
PHYSICAL REVIEW A, 1998, 57 (04): : 2851 - 2858
[35] Quasi-stationary binary inspiral: II. Radiation-balanced boundary conditions
Whelan, JT
Krivan, W
Price, RH
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (23) : 4895 - 4911
[36] On two-point boundary correlations in the six-vertex model with domain wall boundary conditions
Colomo, F
Pronko, AG
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, : 163 - 183
[37] Mathematical Model Reformulation for Lithium-Ion Battery Simulations: Galvanostatic Boundary Conditions
Subramanian, Venkat R.
Boovaragavan, Vijayasekaran
Ramadesigan, Venkatasailanathan
Arabandi, Mounika
JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2009, 156 (04) : A260 - A271
[38] ON A MATHEMATICAL MODEL WITH NON-COMPACT BOUNDARY CONDITIONS DESCRIBING BACTERIAL POPULATION (II)
Boulanouar, Mohamed
EVOLUTION EQUATIONS AND CONTROL THEORY, 2019, 8 (02): : 247 - 271
[39] Boundary conditions and phase functions in a Photo-CREC Water-II reactor radiation field
Valades-Pelayo, P. J.
Moreira, J.
Serrano, B.
de Lasa, H.
CHEMICAL ENGINEERING SCIENCE, 2014, 107 : 123 - 136
[40] Origin of regional climate differences: role of boundary conditions and model formulation in two GCMs
Cash, BA
Schneider, EK
Bengtsson, L
CLIMATE DYNAMICS, 2005, 25 (7-8) : 709 - 723

← 1 2 3 4 5 →