On existence of global solutions and blow-up to a system of reaction-diffusion equations modelling chemotaxis

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 763-785

  Yang, Yin ^a   Chen, Hua ^a   Liu, Weian ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

Blow up; Chemotaxis; Collapse; Subsuper solution

Indexed keywords

EID: 0035557011     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000337796     Document Type: Article

References (15)

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5. On a system of non-linear strongly coupled partial differential equations arising in biology
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7. Sur une équation intégro-différentielle non linéaire issue de la biologie
8. Chemotactic collapse in two dimensions
9. Nonlinear aspects of chemotaxis
10. On explosions of solutions to a system of partial differential equations modelling chomtaxis
11. Chemotactic collapse for the Keller-Segel model
12. Blow-up of radially symmetric solutions to a chemotaxis system
13. Initiation of slime mold aggregation viewed as an instability
14. Global solutions to some parabolic-elliptic systems of chemotaxis
15. Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis