The hosts added their third goal when Daniel Sampaio latched onto Marco Antonio's pass to slot home in stoppage time.
Fourth seed Naomi Osaka of Japan booked her place in the third round with a comfortable 6-1, 6-2 win over Italy's Camila Giorgi.
A product of the Ajax youth academy, Van de Beek made his first-team debut in 2015. In total, he played 175 official matches for Ajax, scoring 41 times.
The 28-year-old is now 16th in the overall rankings, 16 seconds behind new leader Yates.
Garcia now faces No. 28 seed Jennifer Brady of the United States as she looks to reach the round of 16 for the first time. Enditem
Larsen later became president of Badminton Europe in 2010 before being elected BWF president in 2013. He was reelected as BWF president in 2017. Enditem
Caboclo added that national women's team manager Pia Sundhage was informed of the decision in March.
"COVID-19 brought us lot of challenges, which were highlighted in the copyright negotiations. We are regretful to announce the termination with Premier League despite rounds of negotiations," read a statement.
Garcia looked untouchable in the first set and for much of the second, blasting 30 winners and breaking Pliskova's serve three times en route to a 6-1, 7-6 (2) victory.
He doubled Flamengo's lead with a low shot that rebounded in off the post before Rodriguinho pegged a goal back for the hosts.
"It was anybody's game really for a set and a half. I made some breaks and then obviously after winning the second set I felt more comfortable. I was returning better, I started to read his serve better, and I was pleased with my serve. Overall, it was a very good test, and I am happy to get through," said Djokovic, who is bidding to capture his fourth US Open trophy and 18th Grand Slam title.