Author(s)

Luyun Chen, Jie Lou^*

Department of Mathematics, Shanghai University, Shanghai, China.

This work focuses on a Keller-Segel chemotaxis model, with an emphasis on its conservation laws. Through a new approach combined with the multiplier method, called the mixed method, we obtain conservation vectors that are related and unrelated to symmetric information. In addition, some exact solutions with particular forms are obtained according to the method of conservation laws. These particular solutions are different from the group-invariant solutions.

Keller-Segel Model, Conservation Laws, Mixed Method, Exact Solutions

Chen, L.Y. and Lou, J. (2025) Conservation Laws and Particular Solutions for a Keller-Segel Model. Advances in Pure Mathematics, 15, 107-118. doi: 10.4236/apm.2025.152005.