Analysis of electrodiffusion equations in the decomposition form

Russian Journal of Electrochemistry

Volumn 32, Issue 2, 1996, Pages 187-194

  Nikonenko, V V ^a   Urtenov, M Kh ^a  

^a KUBAN STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27644492167     PISSN: 10231935     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. Vasil'eva, A.B. and Butuzov, V.F., Asimptoticheskie razlozheniya reshenii singulyarno vozmushchennykh uravnenii (Asymptotic Decompositions of Solutions for Singularly Perturbed Equations), Moscow: Nauka, 1973, p. 272.
2. Vasil'eva, A.B. and Butuzov, V.F., Asimptoticheskie metody v teorii singulyarnykh vozmushchenii (Asymptotic Methods in the Theory of Singular Perturbations), Moscow: Vyssh. Shkola, 1990, p. 208.
3. Boglaev, Yu.P., Zh. Vych. Mat. Mat. Fiz., 1970, vol. 10, p. 958.
4. Grafov, B.M. and Chernenko, A.A., Dokl. Akad. Nauk SSSR, 1962, vol. 146, p. 135.
5. Grafov, B.M. and Chernenko, A.A., Zh. Fiz. Khim., 1963, vol. 37, p. 664.
6. Gromak, V.I. and Lukashevich, N.A., Analiticheskie svoistva resheniya uravneniya Penleve (Analytical Properties Inherent in the Solution of the Painleve Equation), Minsk: Universitetskoe Izd., 1990.
7. Doolan, E.P., Miller, J.J.H., and Schilders, W.H.A., Uniform Numerical Methods for Problems with Initial and Boundary Layers, Dublin: Boole, 1980.
8. Translated under the title Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Moscow: Mir, 1983.
9. Dukhin, S.S. and Shilov, V.N., Kolloidn. Zh., 1969, vol. 31, p. 706.
10. Dukhin, S.S. and Deryagin, B.V., Elektorforez (Electrophoresis), Moscow: Nauka, 1976, p. 328.
11. Dukhin, S.S., Khim. Tekhnol. Vody, 1989, vol. 11, p. 675.
12. Zholkovskii, E.K. and Semenikhin, N.M., Elektrokhimiya, 1982, vol. 18, p. 1321.
13. Levich, V.G., Dokl. Akad. Nauk SSSR, 1949, vol. 67, p. 307.
14. Levich, V.G., Dokl. Akad. Nauk SSSR, 1959, vol. 134, p. 869.
15. Listovnichii, A.V., Dokl. Akad. Nauk Ukr. SSR, Ser. B: Geol., Khim., Biol. Nauki, 1988, no. 8, p. 39.
16. Listovnichii, A.V., Elektrokhimiya, 1989, vol. 25, p. 1651.
17. Nikolaev, V.K., On the Decidability of the First Boundary-Value Problem for the System of Equations Consisting of the Nernst-Planck and Poisson Equations, Preprint, Pushchino, 1989.
18. Nikonenko, V.V., Zabolotskii, V.I., and Gnusin, N.P., Elektrokhimiya, 1989, vol. 25, p. 301.
19. Newman, J.S., Electrochemical Systems, International Series in the Physical, Chemical, and Engineering Sciences, Englewood Cliffs, NJ: Prentice-Hall, 1973.
20. Translated under the title Elektrokhimicheskie sistemy, Moscow: Mir, 1977.
21. Urtenov, M.Kh. and Nikonenko, V.V., Available from VINITI, Moscow, 1990, no. 148-V91.
22. Urtenov, M.Kh. and Nikonenko, V.V., Elektrokhimiya, 1993, vol. 29, p. 239.
23. Chernenko, A.A., Dokl. Akad. Nauk SSSR, 1963, vol. 153, p. 1129.
24. Kedem, O. and Rubinstein, I., Desalination, 1983, vol. 46, p. 185.
25. Kirillova, E.V. and Urtenov, M.Kh., Abstracts of Papers, Int. Conf. on Membrane Electrochemistry "Ion-Exchange Membranes: From Synthesis to Applications," Anapa, Russia, 1994, p. 52.
26. Murphy, W.D., Manzanares, J.A., Mafé, S., and Reiss, H., J. Phys. Chem., 1992, vol. 96, p. 9983.
27. Newman, J., J. Chem. Soc., Faraday Trans., 1965, vol. 61, p. 2229.
28. Rubinstein, I. and Shtilman, L., J. Chem. Soc., Faraday Trans., 1979, vol. 75, p. 231.
29. Rubinstein, I., J. Chem. Soc., Faraday Trans., 1981, vol. 77, p. 1595.
30. Rubinstein, I., Staude, E., and Kedem, O., Desalination, 1988, vol. 69, p. 101.
31. Smyrl, W.H. and Newman, J., Trans. Faraday Soc., 1967, vol. 63, p. 207.
32. Schlogl, R.Z., Phys. Chem. (Frankfurt am Main), 1954, vol. 1, no. 5, p. 305.