Journal article 276 views
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume: 152, Issue: 4, Pages: 826 - 856
Swansea University Author:
Valeria Giunta
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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 |
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Cambridge University Press (CUP)
2022
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URI: | https://cronfa.swan.ac.uk/Record/cronfa64700 |
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v2 64700 2023-10-10 Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis 50456cce4b2c7be66f8302d418963b0c 0000-0003-1156-7136 Valeria Giunta Valeria Giunta true false 2023-10-10 SMA 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. Journal Article Proceedings of the Royal Society of Edinburgh: Section A Mathematics 152 4 826 856 Cambridge University Press (CUP) 0308-2105 1473-7124 Chemotaxis models, Global solutions, Uniform-in-time bounds, Nonlinear stability, Cross diffusion 31 8 2022 2022-08-31 10.1017/prm.2021.33 http://dx.doi.org/10.1017/prm.2021.33 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-11-28T14:30:12.1639763 2023-10-10T12:19:14.4814839 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Laurent Desvillettes 1 Valeria Giunta 0000-0003-1156-7136 2 Jeff Morgan 3 Bao Quoc Tang 4 |
title |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
spellingShingle |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis Valeria Giunta |
title_short |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
title_full |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
title_fullStr |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
title_full_unstemmed |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
title_sort |
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis |
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50456cce4b2c7be66f8302d418963b0c |
author_id_fullname_str_mv |
50456cce4b2c7be66f8302d418963b0c_***_Valeria Giunta |
author |
Valeria Giunta |
author2 |
Laurent Desvillettes Valeria Giunta Jeff Morgan Bao Quoc Tang |
format |
Journal article |
container_title |
Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
container_volume |
152 |
container_issue |
4 |
container_start_page |
826 |
publishDate |
2022 |
institution |
Swansea University |
issn |
0308-2105 1473-7124 |
doi_str_mv |
10.1017/prm.2021.33 |
publisher |
Cambridge University Press (CUP) |
college_str |
Faculty of Science and Engineering |
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|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
url |
http://dx.doi.org/10.1017/prm.2021.33 |
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description |
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. |
published_date |
2022-08-31T14:30:13Z |
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1783818420825882624 |
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11.021648 |