Mitchell Starc and Nathan Lyon shone with the ball as Australia gained firm control at the end of Day 3 of the second test on Saturday.
Resuming at a overnight score of 17/2, skipper Joe Root and Dawid Malan added 133 more runs before the former edged a Cameron Green delivery to Steve Smith at first slip for 62.
Mitchell Starc then got into the act by dismissing Malan for a well made 80. Ollie Pope fell cheaply leaving the visitors in a spot of bother at 164/5.
Nathan Lyon bagged wickets of the well set Chris Woakes (24) and Ollie Robinson leg before wicket for a duck.
Ben Stokes scored a valuable 34 before inside-edging a Cameron Green delivery onto his stumps, as the visitors lost the last eight wickets for just 86 runs and were bundled out for 236.
For Australia, Mitchell Starc was the pick of the bowlers with figures of 4/37 and Nathan Lyon claimed 3 wickets.
After taking a massive lead of 237, the hosts did not enforce the follow on. The Aussies lost the wicket of David Warner following a horrible mix-up with Marcus Harris for 13.
Harris (21)* and night watchman Michael Neser (2)* were unbeaten at the crease as they ended Day 3 at 45/1, with an overall lead of 282.