Reaction terms avoiding aggregation in slow fluids. (February 2015)

• Record Type: Journal Article
• Authors: Espejo, Elio; Suzuki, Takashi
• Is Part Of: Nonlinear analysis. Volume 21(2015)
• Page Start: 110
• Page End: 126
• Publication Date: 2015-02
• Subjects: Drift–diffusion model -- Chemotaxis -- Stokes equations -- Fluids -- Reaction terms -- Keller–Segel; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.07.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We propose a new mathematical model describing the fertilization process of corals and some other invertebrates. As a result we obtain a Keller–Segel system with reaction terms coupled with a Stokes equation. We prove in dimension two that independently of the size of | ρ 0 | L 1, there exist global weak solutions. Finally we discuss some open problems arising from our research.