## Data supplement

**Files in this Data Supplement:**- Asymptotic analysis - The formal matched asymptotic expansion showing the convergence to the sharp interface model

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Solmaz Torabi, John Lowengrub, Axel Voigt, Steven Wise

Published 13 January 2009.DOI: 10.1098/rspa.2008.0385

Solmaz Torabi

John Lowengrub

Axel Voigt

## Data supplement

**Files in this Data Supplement:**- Asymptotic analysis - The formal matched asymptotic expansion showing the convergence to the sharp interface model

Volume 465, issue 2105

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Solmaz Torabi, John Lowengrub, Axel Voigt, Steven Wise

Proc. R. Soc. A 2009 465 1337-1359; DOI: 10.1098/rspa.2008.0385. Published 24 March 2009