This paper considers the indirect signal consumption-chemotaxis system with signal-dependent motility in a smooth bounded domain , as given by , where the motility function on , which generalizes . Based on point-wise positive lower bound estimate of , it is shown that for any suitably regular initial data, the corresponding initial–boundary value problem admits global smooth solutions.

中文翻译：

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具有信号依赖性运动性的间接消耗趋化系统的全局可解性

本文考虑了在光滑有界域中具有信号依赖性运动的间接信号消耗趋化系统，如 给出的，其中运动函数在 上，其概括为 。基于 的逐点正下界估计，表明对于任何适当规则的初始数据，相应的初始边值问题允许全局平滑解。