The problem studied is a substantial part of a larger mathematical model describing the heterogeneous Ziegler-Natta polymerization process of a gaseous monomer. Here we concentrate on the growth of a polymer layer around a spherical catalytic particle (the whole process taking place in an agglomerate of such particles). The velocity field of the growing layer is determined the absorption rate of the monomer at the catalyst surface. The monomer diffuses through the expanding layer. Its concentration at the outer surface (the free boundary) is supposed to be a known function of time. Global in time existence and uniqueness of a regular solution are proved.
On the growth of a polymer layer around a catalytic particle: a free boundary problem / ANDREUCCI D.; A. FASANO; R. RICCI. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 4, n. 4:(1997), pp. 511-520. [10.1007/s000300050028]
On the growth of a polymer layer around a catalytic particle: a free boundary problem
FASANO, ANTONIO;RICCI, RICCARDO
1997
Abstract
The problem studied is a substantial part of a larger mathematical model describing the heterogeneous Ziegler-Natta polymerization process of a gaseous monomer. Here we concentrate on the growth of a polymer layer around a spherical catalytic particle (the whole process taking place in an agglomerate of such particles). The velocity field of the growing layer is determined the absorption rate of the monomer at the catalyst surface. The monomer diffuses through the expanding layer. Its concentration at the outer surface (the free boundary) is supposed to be a known function of time. Global in time existence and uniqueness of a regular solution are proved.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
