%0 Journal Article %T On a convective condition in the diffusion of a solvent into a polymer %A Marcos Gaudiano %A Tom¨¢s Godoy %A Cristina Turner %J Computational and Applied Mathematics %D 2007 %I %X 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. %K free boundary problems %K diffusion %K convective case %K asymptotic behavior %U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300001