Reaction-diffusion in viscoelastic materials

DOI10.1016/j.cam.2011.12.020zbMath1317.74025OpenAlexW2025514900MaRDI QIDQ432816

P. M. Silva, Paula De Oliveira, José Augusto Ferreira

Publication date: 4 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.12.020

zbMATH Keywords

stabilityconvergencefinite difference methodintegro-differential equationenergy estimate

Mathematics Subject Classification ID

Texture in solid mechanics (74E25) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• \(H^{1}\)-second order convergent estimates for non-Fickian models
• Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
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• Traveling waves for anomalous diffusion in polymers
• Desorption Overshoot in Polymer-Penetrant Systems: Asymptotic and Computational Results
• Qualitative analysis of a delayed non-Fickian model
• Constant Front Speed in Weakly Diffusive Non-Fickian Systems
• Memory effects and random walks in reaction-transport systems