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<p>In this paper, we consider a quasilinear two-species chemotaxis system with two chemicals in a bounded domain with smooth boundary. Under specific parameter conditions, we show that for any sufficiently regular initial data, the associated initial-boundary value problem admits a globally bounded classical solution. Our results provide a more in-depth understanding of the chemotaxis system and significantly improve previously known ones.</p>

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A New Result for Boundedness in a Quasilinear Two-Species Chemotaxis System with Two Chemicals

  • 期刊论文

  • 发表日期：

    2025年10月31日

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  • Chao Liu,
  • Hui Jian

摘要

In this paper, we consider a quasilinear two-species chemotaxis system with two chemicals in a bounded domain with smooth boundary. Under specific parameter conditions, we show that for any sufficiently regular initial data, the associated initial-boundary value problem admits a globally bounded classical solution. Our results provide a more in-depth understanding of the chemotaxis system and significantly improve previously known ones.