Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$

Dylan Samuelian

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arXiv · 2606.24555

Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$

Dylan Samuelian

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Abstract

We consider $D$-equivariant solutions to the harmonic map heat flow from $B^2$ to $S^2$ under general time-dependent smooth boundary data and prove that there is no finite-time blow-up when $D \geq 2$.

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Dylan Samuelian. 2026-06-23. Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$. https://arxiv.org/abs/2606.24555

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