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Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis

Laurent Desvillettes, Valeria Giunta Orcid Logo

Ricerche di Matematica, Volume: 70, Issue: 1, Pages: 99 - 113

Swansea University Author: Valeria Giunta Orcid Logo

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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...

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Published in: Ricerche di Matematica
ISSN: 0035-5038 1827-3491
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa64696
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first_indexed 2023-10-10T11:11:24Z
last_indexed 2023-10-10T11:11:24Z
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spelling 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
format Journal article
container_title Ricerche di Matematica
container_volume 70
container_issue 1
container_start_page 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
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title 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
document_store_str 0
active_str 0
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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score 11.013148

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