Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis

DOI10.1017/prm.2021.33zbMath1496.35226arXiv2009.13131OpenAlexW3184842492MaRDI QIDQ5094458

Valeria Giunta, Bao Quoc Tang, Jeffrey J. Morgan, Laurent Desvillettes

Publication date: 3 August 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13131

zbMATH Keywords

boundednessglobal solutionreaction-diffusion systemchemotaxislogistic term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Could mathematics be the key to unlocking the mysteries of multiple sclerosis? ⋮ The effect of chemotaxis on T-cell regulatory dynamics

Cites Work

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• Elliptic Partial Differential Equations of Second Order
• Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions

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