On a convective condition in the diffusion of a solvent into a polymer
Marcos E. Gaudiano, T. Godoy, Cristina Vilma Turner · Computational and Applied Mathematics · 2007
We studied a one-dimensional free boundary problem arising in the polymer industry, which solution has an interesting asymptotic behavior when a convective boundary condition is imposed. We show the asymptotic behavior of the free boundary and of the concentration of the solvent in the domain, for large t. Exact estimates and numerical results are obtained.