We present a measure of temporal network robustness to evaluate how mobile networks withstand structural damage over time. The study introduces a way to define robustness for time-varying networks and applies it to random models and a real-world dataset of 500 taxicabs. The results show that considering the temporal aspect provides a more accurate picture of a mobile network's performance compared to static analysis, which can overestimate the robustness of fragile, time-varying networks.