A recent model for the penetration of solvents into polymers leads to a parabolic free boundary problem with unusual boundary conditions. It is shown that the model equations are well posed, and some qualitative features of the free boundary are established. A numerical method for the free boundary problem is suggested and its convergence is proved. A numerical calculation is included to illustrate the theoretical results.
On a problem in the polymer industry: theoretical and numerical investigation / A. FASANO; MEYER G.; PRIMICERIO M.. - In: SIAM JOURNAL ON APPLIED MATHEMATICS. - ISSN 0036-1399. - STAMPA. - 17:(1986), pp. 945-960. [10.1137/0517067]
On a problem in the polymer industry: theoretical and numerical investigation
FASANO, ANTONIO;PRIMICERIO, MARIO
1986
Abstract
A recent model for the penetration of solvents into polymers leads to a parabolic free boundary problem with unusual boundary conditions. It is shown that the model equations are well posed, and some qualitative features of the free boundary are established. A numerical method for the free boundary problem is suggested and its convergence is proved. A numerical calculation is included to illustrate the theoretical results.
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