There is no finite or infinite time blow-up solution for the mass-critical 2D cubic Zakharov-Kuznetsov equation when the initial L2 mass equals the ground state mass.
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Nonexistence of minimal mass blow-up solution for the 2D cubic Zakharov-Kuznetsov equation
There is no finite or infinite time blow-up solution for the mass-critical 2D cubic Zakharov-Kuznetsov equation when the initial L2 mass equals the ground state mass.