Blow-up of nonradial solutions to attraction-repulsion chemotaxis system in two dimensions

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• 作者：Yan Li ^{yezi.seu@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Yuxiang Li ; ^{lieyx@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Attraction&ndash ; repulsion chemotaxis system ; Blowup ; Nonradially solutions
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：30
• 期：Complete
• 页码：170-183
• 全文大小：554 K

文摘

This paper deals with the attraction–repulsion chemotaxis system under homogeneous Neumann boundary conditions in a smooth bounded domain in R²${\mathbb{R}}^2$. We study the finite-time blowup of nonradial solutions in the parameter values χα−ξγ>0$\chi \alpha -\xi \gamma >0$ and β≠δ$\beta \ne \delta$.