|
|||||
|
|
Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis |
|
| Authors: | Desvillettes Laurent Giunta Valeria |
| Institution: | 1.Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université de Paris, Sorbonne Université, CNRS, 75013, Paris, France ;2.Department of Mathematics and Computer Science, University of Palermo, Via Archirafi, 34, 90127, Palermo, Italy ; |
| 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |