Skip to main content
Log in

Multi-dimensional electrochemistry model

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. R. Adams. Sobolev Spaces. Academic Press, 1975.

  2. K. J. Brown, P. C. Dunne & R. A. Gardner. A semilinear parabolic system arising in the theory of superconductivity. J. Diff. Eqs. 40 (1981), 232–252.

    Google Scholar 

  3. Y. S. Choi & R. Lui. Analysis of an electrochemistry model with zero flux boundary conditions. Applicable Analysis, 49 (1993), 277–288.

    Google Scholar 

  4. Y. S. Choi & R. Lui. Uniqueness of steady-state solutions of an electrochemistry model with multiple species. J. Diff. Eqs. 108 (1994), 189–201.

    Google Scholar 

  5. Y. S. Choi & R. Lui. Global stability of solutions of an electrochemistry model with multiple species. J. Diff. Eqs (to appear).

  6. Y. S. Choi & R. Lui. Long-time behavior of solutions of an electrophoretic model with a single reaction. IMA J. Appl. Math. 50 (1993), 239–252.

    Google Scholar 

  7. A. Friedman. Partial Differential Equations. Krieger, 1976.

  8. D. Gilbarg & N. S. Trudinger. Elliptic Partial Differential Equations of Second Order. 2nd edition, Springer-Verlag, 1983.

  9. O. A. Ladyženskaja, V. A. Solonnikov & N. N. Ural'ceva. Linear and Quasilinear Equations of Parabolic type. Translation of Mathematical Monographs, 23, Amer. Math. Soc. 1968.

  10. J. Newman. Electrochemical Systems. Prentice Hall, 1973.

  11. M. Protter & H. Weinberger. Maximum Principles in Differential Equations. Prentice Hall, 1984.

  12. F. Rothe. Uniform bounds from bounded Lp-functionals in reaction-diffusion equations. J. Diff. Eqs. 45 (1982), 207–233.

    Google Scholar 

  13. D. Sattinger. Topics in Stability and Bifurcation Theory, Lecture Notes in Mathematics, no. 309, Springer-Verlag, 1973.

  14. J. T. Schwartz. Non-linear Functional Analysis. Gordon and Breach, 1969.

  15. G. Strang. Linear Algebra and its Applications. 3rd edition, Harcourt, Brace, Jovanovich, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by D. Kinderlehrer

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, Y.S., Lui, R. Multi-dimensional electrochemistry model. Arch. Rational Mech. Anal. 130, 315–342 (1995). https://doi.org/10.1007/BF00375143

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00375143

Keywords

Navigation