Sharp critical mass criterion for the fully parabolic Keller–Segel system with the intermediate exponent
Abstract
Abstract In this paper, we consider a degenerate fully parabolic Keller–Segel chemotaxis system { u t = Δ u m − ∇ ⋅ ( u ∇ v ) , x ∈ R d , t > 0 , v t = Δ v − v + u , x ∈ R d , t > 0 , u ( x , 0 ) = u 0 ( x ) ⩾ 0 , v ( x , 0 ) = v 0 ( x ) ⩾ 0 , x ∈ R d , with diffusion rate m > 1 in the whole space R d , d ⩾ 3 . For the intermediate exponent m ∈ ( m ∗ , m
Fields of Study & Subjects
Mathematical Biology Tumor Growth
Nonlinear Partial Differential Equations
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 1
- Pages
- 015008–015008
- Publication date
- 16 January 2026