The Dynamic Radio Sky: Wide-field Transient Surveys on the Path to the Square Kilometre Array

Time domain radio astronomy will be revolutionised by the Square Kilometre Array.The capability to image the sky repeatedly, over many frequencies and timescales, will allow us to explore and understand dynamic phenomena in a way that has not been previously possible.These phenomena range from events at cosmological distances, such as gamma-ray bursts and fast radio bursts, to much more local events, such as massive flares from stars in our Galactic neighbourhood.In each case, rapidly varying emission gives us insights into physics of extreme environments.