Journal article 426 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 |
|---|---|
| ISSN: | 0035-5038 1827-3491 |
| Published: |
Springer Science and Business Media LLC
2021
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa64696 |
| 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 when initial data are smooth. |
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| Keywords: |
Chemotaxis, Cross diffusion, Partial differential equations |
| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
99 |
| End Page: |
113 |