Hostname: page-component-f554764f5-sl7kg Total loading time: 0 Render date: 2025-04-14T18:24:07.194Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable