Blow-up in finite or infinite time of the 2D cubic Zakharov-Kuznetsov equation

Luiz Gustavo Farah, Justin Holmer, Svetlana Roudenko +1

We prove that near-threshold negative energy solutions to the 2D cubic ($L^2$-critical) focusing Zakharov-Kuznetsov (ZK) equation blow-up in finite or infinite time. The proof cons…