数学
趋化性
波浪和浅水
论证(复杂分析)
数学分析
能量(信号处理)
柯西问题
应用数学
初值问题
物理
统计
热力学
生物化学
受体
化学
作者
Xiaoping Zhai,Yiren Chen
标识
DOI:10.1016/j.jde.2020.11.033
摘要
The present paper is dedicated to the Cauchy problem of the two dimensional chemotaxis-shallow water system in the critical Besov spaces. We first obtain the global solutions to this system with small initial data and then investigate the optimal time decay rate of the solutions by a suitable energy argument (independent of the spectral analysis). Moreover, the bacterial density is allowed to vanish here.
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