Blowup dynamics for inhomogeneous mass critical half-wave equation

We consider the focusing inhomogeneous mass critical half-wave equation in one dimension. Under the mild conditions of the inhomogeneous factor, we show that the existence of the radial blowup solutions with ground state mass $\mathrm{\parallel }{u}_0{\mathrm{\parallel }}_2=\mathrm{\parallel }Q{\mathrm{\parallel }}_2$, where $Q$ is the unique positive ground state solution of equation $DQ+Q=Q^3$ and obtain the blowup rate $\mathrm{\parallel }{D}^{\frac{1}{2}}u(t){\mathrm{\parallel }}_{L^2}\sim \frac{1}{\mathrm{\mid }t\mathrm{\mid }}$ as $t\nearrow 0^{-}$.