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Mathematics > Analysis of PDEs

arXiv:1804.09938 (math)
[Submitted on 26 Apr 2018 (v1), last revised 13 Dec 2018 (this version, v2)]

Title:A singular limit in a fractional reaction-diffusion equation with periodic coefficients

Authors:Alexis Léculier (IMT)
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Abstract:We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order $\alpha$ $\in$ (0, 2). We perform a long time-long range scaling in order to prove that the stable state invades the unstable state with a speed which is exponential in time.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.09938 [math.AP]
  (or arXiv:1804.09938v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.09938

Submission history

From: Alexis Leculier [view email] [via CCSD proxy]
[v1] Thu, 26 Apr 2018 08:42:53 UTC (242 KB)
[v2] Thu, 13 Dec 2018 09:27:26 UTC (20 KB)
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