具有张量值灵敏度的三维两物种趋化- stokes系统的全局存在性和渐近行为

Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190028

B. Liu, Guoqiang Ren

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引用次数: 15

摘要

．本文研究了一类具有Lotka-Volterra竞争动力学的两物种趋化- stokes系统在光滑边界的一般三维有界区域内的均匀neumann边界条件下的动力学问题。在初始数据的适当正则性假设下，通过一些L - p估计技术，我们证明了系统具有至少一个全局有界弱解，并讨论了解的渐近性态。我们的结果推广和改进了部分先前已知的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR IN A THREE-DIMENSIONAL TWO-SPECIES CHEMOTAXIS-STOKES SYSTEM WITH TENSOR-VALUED SENSITIVITY

. In this paper, we deal with a two-species chemotaxis-Stokes system with Lotka-Volterra competitive kinetics under homogeneous Neu- mann boundary conditions in a general three-dimensional bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some L p -estimate techniques, we show that the system possesses at least one global and bounded weak solution, in addi- tion to discussing the asymptotic behavior of the solutions. Our results generalizes and improves partial previously known ones.

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