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Stability estimates for systems with small cross-diffusion

Abstract:

We discuss the analysis and stability of a family of cross-diffusion boundary value problems with nonlinear diffusion and drift terms. We assume that these systems are close, in a suitable sense, to a set of decoupled and linear problems. We focus on stability estimates, that is, continuous dependence of solutions with respect to the nonlinearities in the diffusion and in the drift terms. We establish well-posedness and stability estimates in an appropriate Banach space. Under additional assu...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1051/m2an/2018036

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Queens College
Role:
Author
ORCID:
0000-0003-1271-867X
More from this funder
Funding agency for:
Alasio, L
Grant:
EP/L015811/1
More from this funder
Funding agency for:
Bruna, M
Publisher:
EDP Sciences Publisher's website
Journal:
ESAIM: Mathematical Modelling and Numerical Analysis Journal website
Volume:
52
Issue:
3
Pages:
1109 - 1135
Publication date:
2018-09-13
Acceptance date:
2018-05-24
DOI:
EISSN:
1290-3841
ISSN:
0764-583X
Source identifiers:
821081
Keywords:
Pubs id:
pubs:821081
UUID:
uuid:3fbc98df-7016-4240-98d6-393afb213496
Local pid:
pubs:821081
Deposit date:
2018-05-24

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