A nonlinear elliptic boundary value problem related to corrosion modeling

Quarterly of Applied Mathematics

Volumn 56, Issue 3, 1998, Pages 479-505

  Vogelius, Michael ^a   Xu, Jian Ming ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CORROSION; ELECTROCHEMISTRY; MATHEMATICAL MODELS;

NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0032164994     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1637048     Document Type: Article

References (17)

1. R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975
2. R. Baboian, Corrosion - A Problem of International Importance, Corrosion Testing and Evaluation: Silver Anniversary Volume, ASTM STP 1000, R. Baboian and S. S. Dean, eds., American Society for Testing and Materials, Philadelphia, 1990, pp. 7-13.
3. J. Bergh and J. Löfström, Interpolation Spaces, Springer-Verlag, Berlin, 1976.
4. H. Brezis and L. Nirenberg, book in preparation
5. J. Deconinck, Current Distributions and Electrode Shape Changes in Electrochemical Systems, Lecture Notes in Engineering, Vol. 75, Springer-Verlag, Berlin, 1992
6. 2, Duke Mathematical Journal 61, 679-703 (1990)
7. L. S. Hou and J. C. Turner, Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls, Numer. Math. 71, 289-315 (1995)
8. M. A. Krasnosel'skii and Ya. B. Rutickii, Convex Functions and Orlicz Spaces, Noordhoff, Groningen, 1961
9. D. Landolt, Electrochemical and materials science aspects of alloy deposition, Electrochimica Acta 39, 1075-1090 (1994)
10. M. Matlosz, C. Creton, C. Clerc, and D. Landolt, Secondary current distribution in a Hull cell, J. Electrochem. Soc. 134, 3015-3021 (1987)
11. J. Moser, On a nonlinear problem in differential geometry, In Dynamical Systems, M. Peixoto, Editor, Academic Press, New York, 1973
12. J. S. Newman, Electrochemical Systems, Prentice-Hall, Englewood Cliffs, NJ, 1973
13. J. Peetre, Espaces d'Interpolation et Théorème de Soboleff, Ann. Inst. Fourier (Grenoble) 16, 279-317 (1966)
14. P. Ponthiaux, F. Wenger, and J. Galland, Study of the anodic current-voltage curve of an iron-nickel alloy in normal sulfuric acid, J. Electrochem. Soc. 142, 2204-2210 (1966)
15. N. S. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17, 473-483 (1967)
16. H. H. Uhlig and R. W. Revie, Corrosion and Corrosion Control, John Wiley and Sons, New York, 1985
17. N. G. Zamani, J. F. Porter, and A. A. Mufti, A survey of computational efforts in the field of corrosion engineering, International Journal for Numerical Methods in Engineering 23, 1295-1311 (1986)