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- W4221160996 abstract "This paper studies the one-phase Muskat problem driven by gravity and surface tension. The regime considered here is unstable with the fluid on top of a dry region. By a novel approach using a depth-averaged formulation, we derive two asymptotic approximations for this scenario. The lower order approximation is the classical thin film equation, while the higher order approximation provides a new refined thin film equation. We prove the optimal order of convergence in the shallowness parameter to the original Muskat solutions for both models with low-regular initial data." @default.
- W4221160996 created "2022-04-03" @default.
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- W4221160996 date "2022-01-16" @default.
- W4221160996 modified "2023-09-23" @default.
- W4221160996 title "Rigorous thin film approximations of the one-phase unstable Muskat problem" @default.
- W4221160996 doi "https://doi.org/10.48550/arxiv.2201.06015" @default.
- W4221160996 hasPublicationYear "2022" @default.
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