Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata (Q2680409)
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| Language | Label | Description | Also known as |
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| English | Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata |
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Boundedness in a three-component chemotaxis system with nonlinear diffusion for Alopecia areata (English)
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2 January 2023
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The authors study a parabolic system of chemotaxis type modeling a human autoimmune disease. This system features two drift-diffusion equations with nonlinear diffusion and logistic type reaction terms, and a linear equation for production of a chemical. Under suitable assumptions on power-like diffusion coefficients, the existence of a global-in-time bounded solution is shown.
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two-component chemotaxis system
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nonlinear diffusion
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logistic growth
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global-in-time solution
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