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On the Stability of Type II Blowup for the Keller-Segel System in High Dimensions

Hou, Thomas Y. et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
We study finite-time blowup for the parabolic--elliptic Keller--Segel system on $\mathbb{R}^d$ in dimensions $d\geq11$, where the problem is mass supercritical. For every integer $l\geq2$, we construct smooth radially symmetric solutions whose radial mass variable concentrates the normalized station
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