Free Boundary Problems in Controlled Release Pharmaceuticals. I: Diffusion in Glassy Polymers

DOI10.1137/0148089zbMath0704.35141OpenAlexW2041467324MaRDI QIDQ3483753

Thomas Erneux, Donald S. Cohen

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam88a

zbMATH Keywords

moving frontshort timelong timeglassy polymersteady state approximationcontrolled pharmaceuticals release

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35)

Related Items (12)

Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer ⋮ On a moving boundary problem associated with the swelling drug release platforms ⋮ Mathematical models for drug delivery to chronic patients ⋮ Optimal regularity for a class of singular abstract parabolic equations ⋮ A three-phase free boundary problem with melting ice and dissolving gas ⋮ Application of the combined integral method to Stefan problems ⋮ Rigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercooling ⋮ Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ Coordinate transformation and implicit time discretization for diffusion in glassy polymers ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation ⋮ A free boundary problem with nonlinear advection and Dirichlet boundary condition

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