On a system of diffusion-reaction equations. (English) Zbl 0465.35048
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; identificationReferences:
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[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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