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math.AP2012
On the stability of critical chemotactic aggregation
Pierre Raphael, Remi Schweyer
We consider the two dimensional parabolic-elliptic Patlak-Keller-Segel model of chemotactic aggregation for radially symmetric initial data. We show the existence of a stable mecha…
math.AP2011★ 107 cited
Stable blow up dynamics for the 1-corotational energy critical harmonic heat flow
Pierre Raphael, Remi Schweyer
We exhibit a stable finite time blow up regime for the 1-corotational energy critical harmonic heat flow from into a smooth compact revolution surface of whic…