This is a follow-up paper to that of Ockendon et al. (J.Eng.Math., this issue). A more detailed derivation is provided, along with a numerical method which determines directly the full equation of state relating pressure to density. The issue of whether or not the problem is an inverse problem is discussed. © 2010 Springer Science+Business Media B.V.
|Original language||English (US)|
|Number of pages||11|
|Journal||Journal of Engineering Mathematics|
|State||Published - Jul 8 2010|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work is based on work supported by Award No. KUK-C1-013-04, made by the King Abdullah University of Science and Technology (KAUST). I would like to thank H. Ockendon, J.R. Ockendon and J. Platt for bringing the problem to my attention, and to thank S. D. Rothman and C. M. Robinson for providing the experimental data. I am pleased to be able to contribute to this issue dedicated to Norman Riley, a good friend over many years.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.