107 citations · 156 across the 4 of their papers we have counts for
5 papers
Stable blow-up dynamic for the parabolic-parabolic Patlak-Keller-Segel model
Remi Schweyer
We consider the parabolic-parabolic two-dimensional Patlak-Keller-Segel problem. We prove the existence of stable blow-up dynamics in finite time in the radial case. We extend in t…
Quantized slow blow up dynamics for the corotational energy critical harmonic heat flow
Pierre Raphael, Remi Schweyer
We consider the energy critical harmonic heat flow from into a smooth compact revolution surface of . For initial data with corotational symmetry, the evolutio…
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…
Type II Blow Up for the Four Dimensional Energy Critical Semi Linear Heat Equation
Rémi Schweyer
We consider the energy critical four dimensional semi linear heat equation \partial tu-\Deltau-u3 = 0. We show the existence of type II finite time blow up solutions and give a sha…
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…