Journal article
A new approach to computing the asymptotics of the position of Fisher-KPP fronts
- Abstract:
- This paper presents a novel way of computing front positions in Fisher-KPP equations. Our method is based on an exact relation between the Laplace transform of the initial condition and some integral functional of the front position. Using singularity analysis, one can obtain the asymptotics of the front position up to the ${\cal O}(\log t/t )$ term. Our approach is robust and can be generalised to other front equations.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 110.4KB, Terms of use)
-
- Publisher copy:
- 10.1209/0295-5075/122/10001
Authors
+ Agence Nationale de la Recherche
More from this funder
- Funding agency for:
- Berestycki, J
- Grant:
- ANR-14- CE25-0013 (ANR NONLOCAL
- Publisher:
- European Physical Society
- Journal:
- Europhysics Letters More from this journal
- Volume:
- 122
- Issue:
- 1
- Article number:
- 10001
- Publication date:
- 2018-05-21
- Acceptance date:
- 2018-05-07
- DOI:
- EISSN:
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1432-1092
- ISSN:
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0295-5075
- Pubs id:
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pubs:847273
- UUID:
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uuid:f563b363-7550-45af-848f-ce6c25596d59
- Local pid:
-
pubs:847273
- Source identifiers:
-
847273
- Deposit date:
-
2018-05-11
Terms of use
- Copyright holder:
- EPLA
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 EPLA. This is the accepted manuscript version of the article. The final version is available online from European Physical Society at: https://doi.org/10.1209/0295-5075/122/10001
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