After a week of negative headlines with James Pattinson, Shane Watson, Usman Khawaja, and Mitchell Johnson not considered for selection for disciplinary reasons, Australia's chance to respond was delayed when the first day of the third Test was washed out on Thursday.
Today, though, Warner (54no) and Cowan (43no) did exactly what was needed to cheer the Australian fans.
Indeed, it was as comfortable a morning as Australia could possibly have hoped for after chastening defeats in the opening two games of the series.
Warner was the more aggressive - a flat drive down the ground off Ravichandran Ashwin perhaps the highlight - as he reached 50 before lunch, but neither man took undue risks.
Warner did have two small slices of luck, as two edged shots either side of the single which brought up his half-century went to the left and then the right of Virat Kohli at slip.
Clarke's day began with some much-needed cheering news as he won the toss and chose to bat.
As expected, Brad Haddin replaced the injured Matthew Wade while Nathan Lyon, Steve Smith and Mitchell Starc came in for Glenn Maxwell, Watson and Pattinson, with Clarke moving up the order from five to three.