Looking for the Lost Memory in Diffusion-Reaction Equations

José Augusto Ferreira () and Paula de Oliveira ()
Additional contact information
José Augusto Ferreira: University of Coimbra, CMUC-Department of Mathematics
Paula de Oliveira: University of Coimbra, CMUC-Department of Mathematics

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 229-251 from Springer

Abstract: 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.

Keywords: Fick’s law for the flux; Reaction-diffusion equations; Integro-differential equations; Stability; Numerical methods (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_14

Ordering information: This item can be ordered from
http://www.springer.com/9783642040689

DOI: 10.1007/978-3-642-04068-9_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().