Laurencot, Philippe and Matioc, Bogdan-Vasile (2023) The porous medium equation as a singular limit of the thin film Muskat problem. ASYMPTOTIC ANALYSIS, 131 (2). pp. 255-271. ISSN 0921-7134, 1875-8576
Full text not available from this repository. (Request a copy)Abstract
The singular limit of the thin film Muskat problem is performed when the density (and possibly the viscosity) of the lighter fluid vanishes and the porous medium equation is identified as the limit problem. In particular, the height of the denser fluid is shown to converge towards the solution to the porous medium equation and an explicit rate for this convergence is provided in space dimension d <= 4. Moreover, the limit of the height of the lighter fluid is determined in a certain regime and is given by the corresponding initial condition.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | UNIQUENESS; DYNAMICS; FLOWS; Thin film Muskat problem; porous medium equation; singular limit; convergence |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Mar 2024 14:05 |
| Last Modified: | 13 Mar 2024 14:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59959 |
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