论文标题

即使在吸引人为主导的状态中,非局部反应趋化模型的界限

Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime

论文作者

Li, Tongxing, Viglialoro, Giuseppe

论文摘要

这项工作涉及具有非线性扩散和非局部反应源的抛物线趋化性模型。该问题是在整个空间上提出的,并且取决于与扩散和反应相关的系数之间的特定相互作用,我们确定所有给定的溶液均在时间上均匀界定。

This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific interplay between the coefficients associated to such diffusion and reaction, we establish that all given solutions are uniformly bounded in time.

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