Abstract
AbstractWe study singularity formation for the heat flow of harmonic maps from $$\mathbb {R}^d$$
R
d
. For each $$d \ge 4$$
d
≥
4
, we construct a compact, d-dimensional, rotationally symmetric target manifold that allows for the existence of a corotational self-similar shrinking solution (shortly shrinker) that represents a stable blowup mechanism for the corresponding Cauchy problem.
Publisher
Springer Science and Business Media LLC