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Finite time blow-up for the harmonic map heat flow

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Summary

We consider the harmonic map heat flow from the three-dimensional ball to the two-sphere. We establish the existence of regular initial data leading to blow-up in finite time.

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Grotowski, J.F. Finite time blow-up for the harmonic map heat flow. Calc. Var 1, 231–236 (1993). https://doi.org/10.1007/BF01191618

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  • DOI: https://doi.org/10.1007/BF01191618

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