In this work, we consider the two-species chemotaxis system with Lotka–Volterra competitive kinetics in a bounded domain with smooth boundary. We construct weak solutions and prove that they become smooth after some waiting time. In addition, the asymptotic behavior of the solutions is studied. Our results generalize some well-known results in the literature.

中文翻译：

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具有 Lotka-Volterra 竞争动力学的两物种趋化系统中的全局可解性和渐近行为

在这项工作中，我们考虑了具有 Lotka-Volterra 竞争动力学的双物种趋化系统在具有平滑边界的有界域中。我们构造弱解并证明它们在等待一段时间后变得平滑。此外，还研究了解的渐近行为。我们的结果概括了文献中一些众所周知的结果。