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A note on stability shifting for the Muskat problem.
- Source :
-
Philosophical transactions. Series A, Mathematical, physical, and engineering sciences [Philos Trans A Math Phys Eng Sci] 2015 Sep 13; Vol. 373 (2050). - Publication Year :
- 2015
-
Abstract
- In this note, we show that there exist solutions of the Muskat problem that shift stability regimes: they start unstable, then become stable and finally return to the unstable regime. We also exhibit numerical evidence of solutions with medium-sized L(∞) norm of the derivative of the initial condition that develop a turning singularity.<br /> (© 2015 The Author(s) Published by the Royal Society. All rights reserved.)
Details
- Language :
- English
- ISSN :
- 1471-2962
- Volume :
- 373
- Issue :
- 2050
- Database :
- MEDLINE
- Journal :
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
- Publication Type :
- Academic Journal
- Accession number :
- 26261369
- Full Text :
- https://doi.org/10.1098/rsta.2014.0278