Journal article 210 views
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis
,
Jeff Morgan,
Bao Quoc Tang
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume: 152, Issue: 4, Pages: 826 - 856
Swansea University Author:
Valeria Giunta
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1017/prm.2021.33
Abstract
We consider a system of reaction–diffusion equations including chemotaxis terms and coming out of the modelling of multiple sclerosis. The global existence of strong solutions to this system in any dimension is proved, and it is also shown that the solution is bounded uniformly in time. Finally, a n...
| Published in: | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
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| ISSN: | 0308-2105 1473-7124 |
| Published: |
Cambridge University Press (CUP)
2022
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa64700 |
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| Abstract: |
We consider a system of reaction–diffusion equations including chemotaxis terms and coming out of the modelling of multiple sclerosis. The global existence of strong solutions to this system in any dimension is proved, and it is also shown that the solution is bounded uniformly in time. Finally, a nonlinear stability result is obtained when the chemotaxis term is not too big. We also perform numerical simulations to show the appearance of Turing patterns when the chemotaxis term is large. |
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| Keywords: |
Chemotaxis models, Global solutions, Uniform-in-time bounds, Nonlinear stability, Cross diffusion |
| College: |
Faculty of Science and Engineering |
| Issue: |
4 |
| Start Page: |
826 |
| End Page: |
856 |