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

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society 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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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).