Journal article 240 views
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis
Ricerche di Matematica, Volume: 70, Issue: 1, Pages: 99 - 113
Swansea University Author:
Valeria Giunta
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DOI (Published version): 10.1007/s11587-020-00495-8
Abstract
We study in this work the global existence of solutions to a system of reaction cross diffusion equations appearing in the modeling of multiple sclerosis, in the one-dimensional case. Weak solutions are obtained for general initial data, and existence, uniqueness, stability and smoothness are proven...
Published in: | Ricerche di Matematica |
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ISSN: | 0035-5038 1827-3491 |
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Springer Science and Business Media LLC
2021
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URI: | https://cronfa.swan.ac.uk/Record/cronfa64696 |
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v2 64696 2023-10-10 Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis 50456cce4b2c7be66f8302d418963b0c 0000-0003-1156-7136 Valeria Giunta Valeria Giunta true false 2023-10-10 SMA We study in this work the global existence of solutions to a system of reaction cross diffusion equations appearing in the modeling of multiple sclerosis, in the one-dimensional case. Weak solutions are obtained for general initial data, and existence, uniqueness, stability and smoothness are proven when initial data are smooth. Journal Article Ricerche di Matematica 70 1 99 113 Springer Science and Business Media LLC 0035-5038 1827-3491 Chemotaxis, Cross diffusion, Partial differential equations 30 6 2021 2021-06-30 10.1007/s11587-020-00495-8 http://dx.doi.org/10.1007/s11587-020-00495-8 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-11-28T16:23:54.7663008 2023-10-10T12:09:51.1612944 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Laurent Desvillettes 1 Valeria Giunta 0000-0003-1156-7136 2 |
title |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
spellingShingle |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis Valeria Giunta |
title_short |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
title_full |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
title_fullStr |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
title_full_unstemmed |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
title_sort |
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
author_id_str_mv |
50456cce4b2c7be66f8302d418963b0c |
author_id_fullname_str_mv |
50456cce4b2c7be66f8302d418963b0c_***_Valeria Giunta |
author |
Valeria Giunta |
author2 |
Laurent Desvillettes Valeria Giunta |
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Journal article |
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Ricerche di Matematica |
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70 |
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1 |
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99 |
publishDate |
2021 |
institution |
Swansea University |
issn |
0035-5038 1827-3491 |
doi_str_mv |
10.1007/s11587-020-00495-8 |
publisher |
Springer Science and Business Media LLC |
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 |
department_str |
School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics |
url |
http://dx.doi.org/10.1007/s11587-020-00495-8 |
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description |
We study in this work the global existence of solutions to a system of reaction cross diffusion equations appearing in the modeling of multiple sclerosis, in the one-dimensional case. Weak solutions are obtained for general initial data, and existence, uniqueness, stability and smoothness are proven when initial data are smooth. |
published_date |
2021-06-30T16:23:55Z |
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1783825574710476800 |
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11.021648 |