Blowup dynamics for mass critical half-wave equation in 3D

Abstract

We consider the half-wave equation iut=Du−|u|23u in three dimensions and in the mass critical. For initial data u(t0,x)=u0(x)∈Hrad1/2+δ(R3) with radial symmetry, we construct a new class of the radial blowup solutions with the blow up rate ‖D12u(t)‖2∼C(u0)|t| as t→0−.