Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source. (December 2020)

• Record Type: Journal Article
• Authors: Lv, Wenbin
• Is Part Of: Nonlinear analysis. Volume 56(2020)
• Publication Date: 2020-12
• Subjects: Chemotaxis -- Boundedness -- General logistic source -- Signal-dependent motility; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103160
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study a chemotaxis-consumption system with signal-dependent motility and generalized logistic source in a smooth bounded domain. We show that if α > 0, ρ ∈ R, μ > 0 and l > max n + 2 2, 2, then for all sufficiently smooth initial data the system u t = Δ ( u v − α ) + ρ u − μ u l, x ∈ Ω, t > 0, v t = Δ v − u v, x ∈ Ω, t > 0, possesses a unique global-in-time solution.