Qualitative analysis of a delayed non-Fickian model

DOI10.1080/00036810802261024zbMath1160.35304OpenAlexW2170410682WikidataQ58267896 ScholiaQ58267896MaRDI QIDQ3548424

Paula De Oliveira, José Augusto Ferreira

Publication date: 12 December 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802261024

zbMATH Keywords

desorptionFick's lawsorptiondelayed integro-differential equationnon-Fickian fluxwell-posedness in Hadamard sense

Mathematics Subject Classification ID

Related Items (6)

\(H^{1}\)-second order convergent estimates for non-Fickian models ⋮ Analytics and numerics of drug release tracking ⋮ Reaction-diffusion in viscoelastic materials ⋮ Laplace transform -- finite element method for non Fickian flows ⋮ Supraconvergence and supercloseness in Volterra equations ⋮ Anomalous diffusion in porous media

Cites Work

• Local existence for retarded Volterra integrodifferential equations with Hille--Yosida operators
• Solutions to non-autonomous integrodifferential equations with infinite delay
• Approximation of solutions to linear integro-differential parabolic equations in \(L^{p}\)-spaces
• The controllability of the Gurtin-Pipkin equation: a cosine operator approach
• Memory effects and random walks in reaction-transport systems
• Heat waves
• Qualitative behavior of numerical traveling solutions for reaction–diffusion equations with memory

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