Document Zbl 0465.35048

On a system of diffusion-reaction equations. (English) Zbl 0465.35048

Z. Angew. Math. Mech. 60, 357-370 (1980).

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MSC:

35K55	Nonlinear parabolic equations
35B40	Asymptotic behavior of solutions to PDEs
35R20	Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35C05	Solutions to PDEs in closed form
93B30	System identification

Keywords:

polymerization; diffusion-reaction equations; Banach’s fixed point theorem; asymptotic slope; melt polycondensation of polyethylene terephthalate; melt layer; identification

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References:

[1]	Bonatz, Acta Polymerica 30 pp 253– (1979)
[2]	Fife, Bull. Amer. Math. Soc. 84 pp 693– (1978)
[3]	: (eds.), Nonlinear Diffusion, Res. Notes in Mathematics 14, London, Pitman 1977.
[4]	Partial Differential Equations of Parabolte Type. Englewood Cliffs, N.J., Prentice-Hall 1964.
[5]	: ; , Niehtlineare Operatorgleichungen und Operatordifferentialgleichungen, Berlin, Akademie-Verlag 1974. · Zbl 0289.47029
[6]	de Mottoni, Polish Acad. Sci., Inst. of Math., Preprint no. 171 (1979)
[7]	Pell, J. Polym. Science 11 pp 1671– (1973)
[8]	Rauch, Advances in Math. 27 pp 12– (1978)
[9]	Topics in Nonlinear Analysis, Publications math. d’Orsay, Univ. Paris-Sud, Dept. de Math. 1978.

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