Bubble decomposition for the harmonic map heat flow

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• Jacek Jendrej (Sorbonne)
• Monday 24 February 2025, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Giacomo Ageno.

We consider the harmonic map heat flow for maps from the plane to the two-sphere. It is known that solutions to the initial value problem exhibit bubbling along a well-chosen sequence of times – the solution decomposes into a superposition of harmonic maps. We prove that every sequence of times admits a subsequence along which bubbling occurs. This is deduced as a corollary of our main theorem, which shows that the solution approaches the family of multi-bubble configurations in continuous time. This is a joint work with Andrew Lawrie (University of Maryland) and Wilhelm Schlag (Yale University).

This talk is part of the Partial Differential Equations seminar series.

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