数学
有界函数
简并能级
压缩性
扩散
数学分析
非线性系统
类型(生物学)
航程(航空)
柯西分布
物理
机械
热力学
生态学
材料科学
量子力学
生物
复合材料
作者
Yun Sung Chung,Kyungkeun Kang,Jae-Woo Kim
出处
期刊:Journal of The Korean Mathematical Society
[The Korean Mathematical Society]
日期:2014-05-01
卷期号:51 (3): 635-654
被引量:20
标识
DOI:10.4134/jkms.2014.51.3.635
摘要
We consider the Cauchy problem for a Keller-Segel-fluid model with degenerate diffusion for cell density, which is mathematically formulated as a porus medium type of Keller-Segel equations coupled to viscous incompressible fluid equations. We establish the global-in-time existence of weak solutions and bounded weak solutions depending on some conditions of parameters such as chemotactic sensitivity and consumption rate of oxygen for certain range of diffusive exponents of cell density in two and three dimensions.
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