期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 343, 期 1, 页码 207-232出版社
SPRINGER
DOI: 10.1007/s00220-015-2517-3
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资金
- European Research Council under the European Union/ERC [321186]
- NSF FRG [DMS-1065979]
- GNAMPA-INdAM
- Fondazione CaRiPaRo Project Nonlinear Partial Differential Equations: models, analysis, and control-theoretic problems
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.
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