Liquid drops sliding down an inclined plane
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- by Inwon Kim and Antoine Mellet PDF
- Trans. Amer. Math. Soc. 366 (2014), 6119-6150 Request permission
Abstract:
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long-time behavior for both homogeneous and inhomogeneous media (i.e. constant and non-constant contact angle). We also obtain some homogenization results.References
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Additional Information
- Inwon Kim
- Affiliation: Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095
- MR Author ID: 684869
- Email: ikim@math.ucla.edu
- Antoine Mellet
- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- Email: mellet@math.umd.edu.
- Received by editor(s): March 18, 2012
- Received by editor(s) in revised form: April 10, 2013
- Published electronically: May 22, 2014
- Additional Notes: The first author was partially supported by NSF Grant DMS-0970072.
The second author was partially supported by NSF Grants DMS-0901340 and DMS-1201426 - © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 6119-6150
- MSC (2010): Primary 35H30, 35R35, 35Q35
- DOI: https://doi.org/10.1090/S0002-9947-2014-06236-3
- MathSciNet review: 3256195