Self-diffusion in remodeling and growth

Type
Article

Authors
Epstein, Marcelo
Goriely, Alain

KAUST Grant Number
KUK-C1-013-04

Online Publication Date
2011-07-16

Print Publication Date
2012-04

Date
2011-07-16

Abstract
Self-diffusion, or the flux of mass of a single species within itself, is viewed as an independent phenomenon amenable to treatment by the introduction of an auxiliary field of diffusion velocities. The theory is shown to be heuristically derivable as a limiting case of that of an ordinary binary mixture. © 2011 Springer Basel AG.

Citation
Epstein M, Goriely A (2011) Self-diffusion in remodeling and growth. Zeitschrift für angewandte Mathematik und Physik 63: 339–355. Available: http://dx.doi.org/10.1007/s00033-011-0150-3.

Acknowledgements
This work has been partially supported by the Natural Sciences and Engineering Research Council of Canada. This publication is based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), and based in part upon work supported by the National Science Foundation under grant DMS-0907773 (AG).

Publisher
Springer Nature

Journal
Zeitschrift für angewandte Mathematik und Physik

DOI
10.1007/s00033-011-0150-3

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