Finite-time blow-up for the Calogero--Sutherland derivative NLS on $\mathbb{T}$

Xi Chen, Enno Lenzmann

We study finite-time blow-up for the focusing Calogero--Sutherland derivative NLS on the torus with smooth initial data in the Hardy space $L_{+}^2(\mathbb{T})$. For finite-gap poten…