Small smooth deformations of the sphere still admit stable self-similar blowup solutions for the corotational harmonic map heat flow in dimensions 3 to 6.
Finite-time blow-up of the heat flow of harmonic maps from surfaces.J
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Stable blowup for the harmonic map heat flow into perturbed spheres
Small smooth deformations of the sphere still admit stable self-similar blowup solutions for the corotational harmonic map heat flow in dimensions 3 to 6.