On blow-up trees for the harmonic map heat flow from $$B^2$$ to $$S^2$$
Abstract
Abstract We consider finite-time and k -equivariant solutions to the harmonic map heat flow from $$B^2$$ B 2 to $$S^2$$ S 2 under general time-dependent boundary data and prove that the bubble tree decomposition contains only one bubble. The method relies on the Maximum and Comparison Principle. We also exhibit solutions blowing up in infinite time for any $$k \ge 1$$ k ≥ 1 .
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 8
- Publication date
- 23 July 2026
- Language
- EN