Extending CR Yamabe flow and Yamabe flow with boundary

Suppose that $g\left(t\right)$ is a solution to the Yamabe flow$\frac{\partial }{\partial t}g\left(t\right)=-R_{g\left(t\right)}g\left(t\right)$ in a complete Riemannian manifold M on time interval $[0,T)$, where $T<\infty$. Ma, Cheng, and Zhu proved that one can extend the Yamabe flow beyond T under certain conditions. In this paper, we prove the corresponding theorem for the CR Yamabe flow and the Yamabe flow with boundary.