On Amundson’s model of the unsteady combustion of a slab of carbon
Author:
Steven I. Rosencrans
Journal:
Quart. Appl. Math. 45 (1987), 795-807
MSC:
Primary 80A25
DOI:
https://doi.org/10.1090/qam/917028
MathSciNet review:
917028
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- Milton Abramowitz and Irene A. Stegun (eds.), Handbook of mathematical functions, with formulas, graphs and mathematical tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, National Bureau of Standards, Washington, D.C., (for sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 20402), 1966. Fifth printing, with corrections. MR 0208798
- N. R. Amundson, Char combustion, Partial differential equations and dynamical systems, Res. Notes in Math., vol. 101, Pitman, Boston, MA, 1984, pp. 1–15. MR 759741
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H. Caram and N. Amundson, Diffusion and reaction in a stagnant boundary layer, Ind. Eng. Chem. Fund. 16, 171–181 (1977)
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S. Sundaresan and N. Amundson, Diffusion and reaction in a stagnant boundary layer V, Ind. Eng. Chem. Fund. 19, 344–351 (1980)
S. Sundaresan and N. Amundson, Diffusion and reaction in a stagnant boundary layer VI, Ind. Eng. Chem. Fund. 19, 351–357 (1980)
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, U.S. Government Printing Office, 1966
N. Amundson, Char combustion, in Partial Differential Equations and Dynamical Systems, ed. W. E. Fitzgibbon III, Pitman, 1984
J. R. Cannon, The One-Dimensional Heat Equation, Addison-Wesley, 1984
H. Caram and N. Amundson, Diffusion and reaction in a stagnant boundary layer, Ind. Eng. Chem. Fund. 16, 171–181 (1977)
P. Hartman, Ordinary Differential Equations, Wiley, 1964
D. Kershaw, Some results for Abel-Volterra integral equations of the second kind, in Treatment of Integral Equations by Numerical Methods, ed. C. T. H. Baker, Academic Press, 1982
M. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press, 1964
N. G. Lloyd, Degree Theory, Cambridge Univ. Press, 1978
G. Meyer, One dimensional free boundary problems, SIAM Review 19, 17–37 (1977)
M. Protter and H. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, 1967
I. Stakgold, Boundary Value Problems of Mathematical Physics, Macmillan, 1967
S. Sundaresan and N. Amundson, Diffusion and reaction in a stagnant boundary layer V, Ind. Eng. Chem. Fund. 19, 344–351 (1980)
S. Sundaresan and N. Amundson, Diffusion and reaction in a stagnant boundary layer VI, Ind. Eng. Chem. Fund. 19, 351–357 (1980)
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Article copyright:
© Copyright 1987
American Mathematical Society