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• W2765701925 abstract "We consider the energy-supercritical harmonic map heat flow from $mathbb{R}^d$ into $mathbb{S}^d$, under an additional assumption of 1-corotational symmetry. We are interested by the 7 dimensional case which is the borderline between the Type I blowup regime. We construct for this problem a stable finite time blowup solution under the condition of corotational symmetry that blows up via concentration of the universal profile $$u(r,t) sim Qleft(frac{r}{lambda(t)}right),$$ where $Q$ is the stationary solution of the equation and the speed is given by the rate $$lambda(t) sim frac{sqrt{(T-t)}}{|log(T-t)|},$$ which corresponds to the speed predicted by Biernat." @default.
• W2765701925 created "2017-11-10" @default.
• W2765701925 creator A5084273687 @default.
• W2765701925 date "2017-10-24" @default.
• W2765701925 modified "2023-09-27" @default.
• W2765701925 title "Stable type II blowup for the 7 dimensional 1-corotational energy supercritical harmonic map heat flow" @default.
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• W2765701925 hasPublicationYear "2017" @default.
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