Formal relaxation oscillations for a model of a catalytic particle
Author:
S. P. Hastings
Journal:
Quart. Appl. Math. 41 (1984), 395-405
MSC:
Primary 80A30
DOI:
https://doi.org/10.1090/qam/724051
MathSciNet review:
724051
Full-text PDF Free Access
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Additional Information
- Herbert Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976), no. 4, 620–709. MR 415432, DOI https://doi.org/10.1137/1018114
N. R. Amundsen and L. R. Raymond, Stability in distributed parameter systems, AIChE J. 11 (1965), 339
R. Aris, The mathematical theory of diffusion and reaction in permeable catalysts, Clarendon Press, Oxford (2 volumes), 1975
H.-C. Chang and J. M. Calo, A priori estimation of chemical relaxation oscillations via a singular perturbation technique, Chem. Eng. Commun. 3 (1979), 431–449
- Donald S. Cohen and Aubrey B. Poore, Tubular chemical reactors: the “lumping approximation” and bifurcation of oscillatory states, SIAM J. Appl. Math. 27 (1974), 416–429. MR 356721, DOI https://doi.org/10.1137/0127032
- E. N. Dancer, On the structure of solutions of an equation in catalysis theory when a parameter is large, J. Differential Equations 37 (1980), no. 3, 404–437. MR 590000, DOI https://doi.org/10.1016/0022-0396%2880%2990107-2
J. C. M. Lee and D. Luss, The effect of lewis number on the stability of a catalytic reaction, AICheE J. 16 (1970), 620
- Hiroshi Matano, Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29 (1982), no. 2, 401–441. MR 672070
W. H. Ray and S. P. Hastings, The influence of the Lewis number on the dynamics of chemically reacting systems, Chem. Eng. Sci. 35 (1980), 589–595
H. Amman, Fixed point equations and nonlinear eigenvalue problems ordered Banach spaces, SIAM Review 18 (1976), 620–709
N. R. Amundsen and L. R. Raymond, Stability in distributed parameter systems, AIChE J. 11 (1965), 339
R. Aris, The mathematical theory of diffusion and reaction in permeable catalysts, Clarendon Press, Oxford (2 volumes), 1975
H.-C. Chang and J. M. Calo, A priori estimation of chemical relaxation oscillations via a singular perturbation technique, Chem. Eng. Commun. 3 (1979), 431–449
D. S. Cohen and A. Poore, Tubular chemical reactors: The “lumping approximation” and bifurcation of oscillatory states, SIAM J. Appl. Math. 27 (1974), 416–429
E. N. Dancer, On the structure of solutions of an equation in catalysis theory when a parameter is large, J. Diff. Equations 37 (1980), 404–437
J. C. M. Lee and D. Luss, The effect of lewis number on the stability of a catalytic reaction, AICheE J. 16 (1970), 620
H. Matano, Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation, J. Fac. Sci. Univ. Tokyo (to appear)
W. H. Ray and S. P. Hastings, The influence of the Lewis number on the dynamics of chemically reacting systems, Chem. Eng. Sci. 35 (1980), 589–595
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© Copyright 1984
American Mathematical Society
