An eigenvalue problem arising from spiky steady states of a minimal chemotaxis model

作者：Zhang, Yajing^*; Chen, Xinfu; Hao, Jianghao; Lai, Xin; Qin, Cong

来源：Journal of Mathematical Analysis and Applications, 2014, 420(1): 684-704.

DOI：10.1016/j.jmaa.2014.06.005

• Eigenvalue
• Singular perturbation
• Asymptotic expansion
• Chemotaxis

Asymptotic expansion of singular integrals is presented for the study of the existence and uniqueness of spiky steady states of Keller-Segel's minimal chemotaxis model. A tool is developed to find asymptotic expansion of eigenpairs of a nonlocal singular eigenvalue problem arising from the study of stability of the spiky steady state. New insights are given to simplify significantly the proofs of the main results in [1].

• 出版日期2014-12-1
• 单位哈尔滨工业大学; 苏州大学; 山西大学