Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer | Zendy

Antonio Fasano | Zendy; Alberto Mancini | Zendy

Open Access

Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer

Author(s) -

Antonio Fasano,

Alberto Mancini

Publication year - 2000

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/11

Subject(s) - uniqueness , isobaric process , crystallization , boundary value problem , thermodynamics , polymer , free boundary problem , mathematical analysis , mathematics , physics , nuclear magnetic resonance

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.

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