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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
Version:
Accepted Manuscript

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Publisher copy:
10.1209/0295-5075/122/10001

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Statistics
Oxford college:
Magdalen College
Derrida, B More by this author
Publisher:
European Physical Society Publisher's website
Journal:
Europhysics Letters Journal website
Volume:
122
Issue:
1
Pages:
Article: 10001
Publication date:
2018-05-21
Acceptance date:
2018-05-07
DOI:
EISSN:
1432-1092
ISSN:
0295-5075
Pubs id:
pubs:847273
URN:
uri:f563b363-7550-45af-848f-ce6c25596d59
UUID:
uuid:f563b363-7550-45af-848f-ce6c25596d59
Local pid:
pubs:847273

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