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- W4321152018 abstract "We consider the one-phase Muskat problem modeling the dynamics of the free boundary of a single fluid in porous media. We prove local well-posedness for fluid interfaces that are general curves and can have singularities. In particular, the free boundary can have acute angle corners or cusps. Moreover, we show that isolated corners/cusps on the interface must be rigid, meaning the angle of the corner is preserved for a finite time, there is no rotation at the tip, the particle at the tip remains at the tip and the velocity of that particle at the tip points vertically downward." @default.
- W4321152018 created "2023-02-18" @default.
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- W4321152018 date "2021-11-17" @default.
- W4321152018 modified "2023-10-01" @default.
- W4321152018 title "Rigidity of Acute Angled Corners for One Phase Muskat Interfaces" @default.
- W4321152018 doi "https://doi.org/10.48550/arxiv.2111.09291" @default.
- W4321152018 hasPublicationYear "2021" @default.
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