The dHYM cotangent flow on the blow-up of CP^3 at a point develops a co-dimension one singularity along the exceptional divisor under Calabi ansatz symmetry, and the limit satisfies the singular dHYM equation.
and Song, J., Minimal slopes and bubbling for complex Hessian equa- tions
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Singularity formation in co-dimension one of the dHYM cotangent flow on blow up of $\mathbb{C}\mathbb{P}^{3}$ at a point
The dHYM cotangent flow on the blow-up of CP^3 at a point develops a co-dimension one singularity along the exceptional divisor under Calabi ansatz symmetry, and the limit satisfies the singular dHYM equation.