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- W4308858840 abstract "We establish a new property of Fisher-KPP type propagation in a plane, in the presence of a line with fast diffusion. We prove that the line enhances the asymptotic speed of propagation in a cone of directions. Past the critical angle given by this cone, the asymptotic speed of propagation coincides with the classical Fisher-KPP invasion speed. Several qualitative properties are further derived, such as the limiting behaviour when the diffusion on the line goes to infinity." @default.
- W4308858840 created "2022-11-18" @default.
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- W4308858840 date "2014-02-06" @default.
- W4308858840 modified "2023-09-23" @default.
- W4308858840 title "The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations" @default.
- W4308858840 doi "https://doi.org/10.48550/arxiv.1402.1441" @default.
- W4308858840 hasPublicationYear "2014" @default.
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