Geodesic
Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer
Antonio Fasano1 orcid ; Alberto Mancini2
1Università di Firenze, Italy
2Università degli Studi di Firenze, Italy
Interfaces and free boundaries, Tome 2 (2000) no. 1, pp. 1-19

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DOI

In this paper a global existence and uniqueness result is presented for the classical solution of a free boundary problem for a system of partial differential equations (p.d.e.s.) with non-local boundary conditions describing the crystallization process of a cylindrical sample of polymer under prescribed pressure. The system of equations is discussed in [16] as the model for coupled cooling and shrinking of a sample of molten polymer under a given constant pressure. The velocity field generated by the thermal and chemical contraction enters the model only through its divergence. Such an approximation is discussed on the basis of a qualitative analysis.
DOI : 10.4171/ifb/11
Classification : 46-XX, 60-XX
Mots-clés : Free boundary problems; nonlinear parabolic equations; phase change

Antonio Fasano  1   ; Alberto Mancini  2

1 Università di Firenze, Italy
2 Università degli Studi di Firenze, Italy 
Antonio Fasano; Alberto Mancini. Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer. Interfaces and free boundaries, Tome 2 (2000) no. 1, pp. 1-19. doi: 10.4171/ifb/11
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