Problemas de frontera libre en la difusión de solventes de polímeros /

Abstract

El estudio de la difusión de solventes en polímeros es de gran utilidad en la industria de los materiales plásticos. Matemáticamente, estos procesos pueden ser modelados como problemas de frontera libre.

Research in diffusion of solvent into polymers is an important challenge which arises in polymer industry. Mathematically, these processes can be modelled as free boundary problems. We studied the one dimensional case. Imposing a convective boundary condition on the fixed face, the solution has an interesting asymptotic behavior. It is found that the free boundary is bounded by a constant which does not depend on the conductivity coefficient, which holds even if the diffusion process is nonlinear. Numerical methods are presented to compute the solutions and compare the results.