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Turing conditions for pattern forming systems on evolving manifolds

Abstract:

The study of pattern-forming instabilities in reaction–diffusion systems on growing or otherwise time-dependent domains arises in a variety of settings, including applications in developmental biology, spatial ecology, and experimental chemistry. Analyzing such instabilities is complicated, as there is a strong dependence of any spatially homogeneous base states on time, and the resulting structure of the linearized perturbations used to determine the onset of instability is inherently non-au...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00285-021-01552-y

Authors


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Role:
Author
ORCID:
0000-0002-8506-3961
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
ORCID:
0000-0001-9638-7278
Publisher:
Springer Publisher's website
Journal:
Journal of Mathematical Biology Journal website
Volume:
82
Issue:
1-2
Article number:
4
Publication date:
2021-01-20
Acceptance date:
2020-10-16
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
Pmid:
33475826
Language:
English
Keywords:
Pubs id:
995537
Local pid:
pubs:995537
Deposit date:
2021-03-19

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