Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation

Francisc Bozgan, Tej-Eddine Ghoul, Nader Masmoudi +1

We study blow-up dynamics for the $L^2$-critical cubic Zakharov--Kuznetsov equation in two dimensions, \[ \partial_tu+\partial_{x_1}(Δu+u^3)=0 \qquad\text{on }\mathbb R^2. \] For a…