A degenerate p-Laplacian Keller-Segel model

Wenting Cong Jilin University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03022

Kinetic and Related Models , 9, (4), 687-714, 2016.12
where p > 1. 1 < p < 2 is called the fast p-Laplacian diffusion, while p > 2 is called the slow p-Laplacian diffusion. Especially, the p-Laplacian Keller-Segel model turns to the original model when p = 2.The Keller-Segel model was firstly presented in 1970 to describe the chemotaxis of cellular slime molds [13, 14]. The original model was considered in 2D,
Chemotaxis, fast diffusion, critical space, global existence, monotone operator, non-Newtonian filtration.
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@inproceedings{wenting2016a,
  title={A degenerate p-Laplacian Keller-Segel model},
  author={Wenting Cong, and Jian-Guo Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207213118778627265},
  booktitle={Kinetic and Related Models },
  volume={9},
  number={4},
  pages={687-714},
  year={2016},
}
Wenting Cong, and Jian-Guo Liu. A degenerate p-Laplacian Keller-Segel model. 2016. Vol. 9. In Kinetic and Related Models . pp.687-714. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207213118778627265.
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