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- W3217185890 abstract "In this paper, we consider patch solutions to the $alpha$-SQG equation and derive new criteria for the absence of splash singularity where different patches or parts of the same patch collide in finite time. Our criterion refines a result due to Gancedo and Strain cite{GS}, providing a condition on the growth of curvature of the patch necessary for the splash and an exponential in time lower bound on the distance between patches with bounded curvature." @default.
- W3217185890 created "2021-12-06" @default.
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- W3217185890 date "2021-11-26" @default.
- W3217185890 modified "2023-09-26" @default.
- W3217185890 title "On nonexistence of splash singularities for the $alpha$-SQG patches" @default.
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- W3217185890 doi "https://doi.org/10.48550/arxiv.2111.13794" @default.
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