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Non-negative global weak solutions for a degenerate parabolic system modelling thin films driven by capillarity

Published online by Cambridge University Press:  20 September 2012

Bogdan-Vasile Matioc
Bogdan-Vasile Matioc*
Affiliation:
Institut für Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
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Abstract

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We prove the global existence of non-negative weak solutions for a strongly coupled, fourth-order degenerate parabolic system governing the motion of two thin fluid layers in a porous medium when capillarity is the sole driving mechanism.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 5 , October 2012 , pp. 1071 - 1085
Copyright
Copyright © Royal Society of Edinburgh 2012