A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
Author:
Affiliation:
1. Institut für Mathematik Universität Paderborn Warburger Str. 100 33098 Paderborn Germany
Funder
Deutsche Forschungsgemeinschaft
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202000403
Reference56 articles.
1. Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models
2. MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
3. Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
4. Finite-time blow-up in a degenerate chemotaxis system with flux limitation
5. A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
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