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Volume 26, Issue 2, March 2019, Pages 313 - 325
Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations
Authors
Colin Rogers
School of Mathematics and Statistics, The University of New South Wales, Sydney, NSW2052, Australia,c.rogers@unsw.edu.au
Received 13 December 2018, Accepted 6 January 2019, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1591733How to use a DOI?
- Keywords
- Stefan Problems; Heterogeneous Media; Reciprocal Transformations; Integral Transformations
- Abstract
The combined action of reciprocal and integral-type transformations is here used to sequentially reduce to analytically tractable form a class of nonlinear moving boundary problems involving heterogeneity. Particular such Stefan problems arise in the description of the percolation of liquids through porous media in soil mechanics.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Colin Rogers PY - 2021 DA - 2021/01/06 TI - Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations JO - Journal of Nonlinear Mathematical Physics SP - 313 EP - 325 VL - 26 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1591733 DO - 10.1080/14029251.2019.1591733 ID - Rogers2021 ER -