An integro-differential equation arising from an electrochemistry model
Authors:
Y. S. Choi and Roger Lui
Journal:
Quart. Appl. Math. 55 (1997), 677-686
MSC:
Primary 45K05; Secondary 35J65, 35Q99, 47N20
DOI:
https://doi.org/10.1090/qam/1486542
MathSciNet review:
MR1486542
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Abstract: In this paper, we prove the existence and uniqueness of steady-state solutions for a system of equations arising from a model in electrochemistry. The same result was established by the authors in an earlier paper under the additional assumptions that the space-dimension $N = 2$ and the concentrations of the charged ions satisfy an electro-neutrality condition.
- Y. S. Choi and Roger Lui, Uniqueness of steady-state solutions for an electrochemistry model with multiple species, J. Differential Equations 108 (1994), no. 2, 424–437. MR 1270586, DOI https://doi.org/10.1006/jdeq.1994.1040
- Y. S. Choi and Roger Lui, Global stability of solutions of an electrochemistry model with multiple species, J. Differential Equations 116 (1995), no. 2, 306–317. MR 1318577, DOI https://doi.org/10.1006/jdeq.1995.1037
- Y. S. Choi and Roger Lui, Multi-dimensional electrochemistry model, Arch. Rational Mech. Anal. 130 (1995), no. 4, 315–342. MR 1346361, DOI https://doi.org/10.1007/BF00375143
- David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 224, Springer-Verlag, Berlin, 1983. MR 737190
Y. S. Choi and R. Lui, Uniqueness of steady-state solutions for an electrochemistry model with multiple species, J. Diff. Equations 108, 424–437 (1994)
Y. S. Choi and R. Lui, Global stability of solutions of an electrochemistry model with multiple species, J. Diff. Equations (to appear)
Y. S. Choi and R. Lui, Multi-dimensional electrochemistry model, Arch. Rational Mech. Anal, (to appear)
D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, 1983
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Article copyright:
© Copyright 1997
American Mathematical Society