Abstract
We study a model proposed by E.F. Keller and L.A. Segel in two dimensions. Under some assumptions on the initial datum we prove the global existence and uniqueness of the solution and for other initial values we show that there exists a radial symmetric solution exploding in finite time.
Citation
A. Boy-Dalverny. M. Madaune-Tort. "Blow-up phenomenon and global solution to a coupled parabolic-elliptic system of chemotaxis." Differential Integral Equations 14 (11) 1333 - 1350, 2001. https://doi.org/10.57262/die/1356123027
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