Finite time blow-up for the harmonic map heat flow

Springer Science and Business Media LLC - Tập 1 - Trang 231-236 - 1993
Joseph F. Grotowski1
1Technische Hochschule Darmstadt, Fachbereich Mathematik, Darmstadt, Germany

Tóm tắt

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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