类型(生物学)
趋化性
数学
动力学
订单(交换)
应用数学
Volterra方程
数学分析
数学优化
物理
经济
生态学
经典力学
生物
非线性系统
生物化学
受体
财务
量子力学
标识
DOI:10.1142/s0218202524500167
摘要
In this paper, we study a two-species chemotaxis–fluid system with Lotka–Volterra type competitive kinetics in a bounded and smooth domain [Formula: see text] with no-flux/Dirichlet boundary conditions. We present the global existence of weak energy solution to a two-species chemotaxis Navier–Stokes system, and then the global weak energy solution which coincides with a smooth function throughout [Formula: see text], where [Formula: see text] represents a countable union of open intervals which is such that [Formula: see text]. In such two-species chemotaxis–fluid setting, our existence improves known blow-up prevention by logistic source to blow-up prevention by sub-logistic source, indicating standard logistic source is not the weakest damping source to prevent blow-up. This finding significantly extends previously known ones.
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