Some Progress in Global Existence of Solutions to a Higher-Dimensional Chemotaxis System Modeling Alopecia Areata

    June 2025 in “ arXiv (Cornell University)
    H.Y. Tang, Jiashan Zheng
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    Preprint — not peer reviewed. This was posted to a preprint server or data repository. It has not been through a journal's review process, and its findings may change or not hold up.

    Studysummary This study examined different logistic damping effects in a chemotaxis system related to Alopecia Areata and found that certain conditions guarantee a unique, globally bounded classical solution, while others ensure a weak solution, offering new insights into preventing blow-ups in this context.
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