Desorption Overshoot in Polymer-Penetrant Systems: Asymptotic and Computational Results

DOI10.1137/S0036139901390428zbMath1011.35011MaRDI QIDQ3149852

Richard A. Cairncross, David A. Edwards

Publication date: 29 September 2002

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

zbMATH Keywords

asymptotic expansionsviscoelastic effectspolymer-penetrant systemsperturbation methodsmoving boundary-value problemsfinite-element method

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15) Asymptotic expansions of solutions to PDEs (35C20) Finite element methods applied to problems in fluid mechanics (76M10) Nonlinear constitutive equations for materials with memory (74D10) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Related Items (7)

Weak solvability for equations of viscoelastic diffusion in polymers with variable coefficients ⋮ Variational estimates for the speed propagation of fronts in a nonlinear diffusive Fisher equation ⋮ Analytics and numerics of drug release tracking ⋮ Reaction-diffusion in viscoelastic materials ⋮ Coupled vehicle-skin models for drug release ⋮ Diffusion, viscoelasticity and erosion: analytical study and medical applications ⋮ A spatially nonlocal model for polymer desorption

Uses Software

• DASSL

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