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Looking for the Lost Memory in Diffusion-Reaction Equations

In: Advances in Mathematical Fluid Mechanics

Author

Listed:
  • José Augusto Ferreira

    (University of Coimbra, CMUC-Department of Mathematics)

  • Paula de Oliveira

    (University of Coimbra, CMUC-Department of Mathematics)

Abstract

The paper studies the analytical and numerical behaviours of some non Brownian models for diffusion phenomena. These models have been introduced in the literature to overcome the gap between experimental data and numerical simulations. From analytical point of view stability results leading to the well-posedness in the Hadamard sense of the initial boundary value problems are established. From numerical point of view some numerical methods are analysed. Applications within the fields of drug release, heat conduction and reaction diffusion phenomena are addressed.

Suggested Citation

  • José Augusto Ferreira & Paula de Oliveira, 2010. "Looking for the Lost Memory in Diffusion-Reaction Equations," Springer Books, in: Rolf Rannacher & Adélia Sequeira (ed.), Advances in Mathematical Fluid Mechanics, pages 229-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-04068-9_14
    DOI: 10.1007/978-3-642-04068-9_14
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