Volume effects in the Keller–Segel model: energy estimates preventing blow-up

2006/06/07 by Vincent Calvez, José A. Carrillo · 5 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular Mechanics and Interactions #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth

paper · pdf · doi:10.1016/j.matpur.2006.04.002

openalex publication_date 2006/06/07 · crossref created 2006/06/07 · crossref issued 2006/08/01 · crossref published 2006/08/01 · crossref published-print 2006/08/01 · crossref deposited 2019/04/19 · openalex created_date 2025/10/10 · crossref indexed 2026/07/27 · openalex updated_date 2026/08/03

Citations

• On explosions of solutions to a system of partial differential equations modelling chemotaxis

Cited by

• Coupled chemotactic fronts in heterogeneous sensor-consumer cell mixtures
• Boundedness and large time behavior in a higher-dimensional Keller--Segel system with singular sensitivity and logistic source
• A nonlocal-to-local approach to aggregation-diffusion equations
• Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
• Vincent Calvez [wikipedia]