Journal article
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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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Alasio, L
Grant:
EP/L015811/1
Bibliographic Details
- 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
Item Description
- Keywords:
- Pubs id:
-
pubs:821081
- UUID:
-
uuid:3fbc98df-7016-4240-98d6-393afb213496
- Local pid:
- pubs:821081
- Source identifiers:
-
821081
- Deposit date:
- 2018-05-24
Terms of use
- Copyright holder:
- © EDP Sciences, SMAI 1999
- Copyright date:
- 2018
- Notes:
- This is the publisher's version of the article. The final version is available online from EDP Sciences at: 10.1051/m2an/2018036
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