Australia captain Pat Cummins said his side had been relentless and would now aim for a 5-0 sweep of the ashes 2021-22 series.
“Any Ashes series is when you try to make a mark on your test career, so a chance to start cementing our identity,” Cummins said.
England captain Joe Root tried to remain positive.
“We have to stay strong and look at the next two games to take something from the tour,” Root said at the post-match ceremony.
Play resumed as scheduled on Tuesday after players from both teams were tested for COVID-19 overnight.
“All results have come back negative,” Cricket Australia said.
The start of Monday’s second day of play was delayed by 30 minutes due to a COVID-19 scare involving two members of England’s support staff.
Australia were bowled out for 267 on Monday as the home side grabbed a first-innings advantage of 82 runs. England could not even reach that figure to make Australia bat a second time.
The fourth test is scheduled to begin on Jan. 5 in Sydney, with the fifth from Jan. 14 in Hobart.