Blow-up of nonradial solutions to attraction–repulsion chemotaxis system in two dimensions. (August 2016)

• Record Type: Journal Article
• Authors: Li, Yan; Li, Yuxiang
• Is Part Of: Nonlinear analysis. Volume 30(2016)
• Page Start: 170
• Page End: 183
• Publication Date: 2016-08
• Subjects: Attraction–repulsion chemotaxis system -- Blowup -- Nonradially solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.12.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper deals with the attraction–repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u ∇ w ), x ∈ Ω, t > 0, 0 = Δ v + α u − β v, x ∈ Ω, t > 0, 0 = Δ w + γ u − δ w, x ∈ Ω, t > 0, under homogeneous Neumann boundary conditions in a smooth bounded domain in R 2 . We study the finite-time blowup of nonradial solutions in the parameter values χ α − ξ γ > 0 and β ≠ δ .