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
收藏
页码：120 / 131
页数：12
相关论文
共 50 条
  • [1] On a Neumann boundary value problem for the Painleve II equation in two-ion electro-diffusion
    Amster, Pablo
    Kwong, Man Kam
    Rogers, Colin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (09) : 2897 - 2907
  • [2] Backlund flux quantization in a model of electrodiffusion based on Painleve II
    Bracken, A. J.
    Bass, L.
    Rogers, C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (10)
  • [3] ON A ERMAKOV-PAINLEVE II REDUCTION IN THREE-ION ELECTRODIFFUSION. A DIRICHLET BOUNDARY VALUE PROBLEM
    Amster, Pablo
    Rogers, Colin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (08) : 3277 - 3292
  • [4] On two-point boundary value problems in multi-ion electrodiffusion
    Amster, P
    Mariani, MC
    Rogers, C
    Tisdell, CC
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) : 712 - 721
  • [5] Conditions for the observation of two-ion correlation effects in the interaction of a fast ion beam with a plasma target
    DAvanzo, J
    Lontano, M
    Bortignon, PF
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1997, 19 (05): : 685 - 694
  • [6] Conditions for formation and trapping of the two-ion Coulomb cluster in the dissipative optical superlattice
    I.V.Krasnov
    Chinese Physics B, 2015, 24 (06) : 309 - 317
  • [7] Conditions for formation and trapping of the two-ion Coulomb cluster in the dissipative optical superlattice
    Krasnov, I. V.
    CHINESE PHYSICS B, 2015, 24 (06)
  • [8] A NEUMANN BOUNDARY VALUE PROBLEM IN TWO-ION ELECTRO-DIFFUSION WITH UNEQUAL VALENCIES
    Amster, Pablo
    Kwong, Man Kam
    Rogers, Colin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (07): : 2299 - 2311
  • [9] A two-ion ice particle model of the polar summer mesopause region
    Klostermeyer, J.
    JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 1994, 99 (D3) : 5487 - 5497
  • [10] Kinetic model and Vlasov simulation verification of two-ion decay instability
    Liu, D. J.
    Wang, Qing
    Li, X. M.
    Zhang, S. T.
    Cheng, R. J.
    Li, X. X.
    Lv, S. Y.
    Huang, Z. M.
    Wang, Qiang
    Liu, Z. J.
    Cao, L. H.
    Zheng, C. Y.
    PHYSICAL REVIEW E, 2023, 108 (02)
12345