The U.S. Open entered into its second day Tuesday at the USTA Billie Jean King National Tennis Center, with Rafael Nadal, Iga Swiatek and Carlos Alcaraz among the names taking the court.

Swiatek got things started at Louis Armstrong Stadium against Jasmine Paolini with a straight-set win.

Alcaraz drew the opening match at Arthur Ashe Stadium against Sebastian Baez and won the first two sets before his opponent retired two games into the third due to injury.

Emma Raducanu, the defending women's singles champion, got her title defense underway Tuesday night as well. However, there will be a new women's champ this year after Alize Cornet defeated the No. 11 seed in straight sets.

Nadal, meanwhile, got a prime-time slot at Arthur Ashe opposite Rinky Hijikata. The No. 198-ranked player in the world took the first set off Nadal, but the 22-time Grand Slam singles winner rolled off three straight set victories to advance to the next round.

Notable Men's Singles Results

• No. 2 Rafael Nadal def. Rinky Hijikata 4-6, 6-2, 6-3, 6-3
• No. 3 Carlos Alcaraz def. Sebastian Baez 7-5, 7-5, 2-0 (retired)
• No. 7 Cameron Norrie def. Benoit Paire 6-0, 7-6(1), 6-0 
• No. 8 Hubert Hurkacz def. Oscar Otte 6-4, 6-2, 6-4
  
• No. 9 Andrey Rublev def. Laslo Djere 7-6(5), 6-3, 3-6, 4-6, 6-4 
• No. 11 Jannik Sinner def. Daniel Altmaier 5-7, 6-2, 6-1, 3-6, 6-1
• No. 15 Marin Cilic def. Maximilian Marterer 6-3, 6-2, 7-5
  
• No. 17 Grigor Dimitrov def. Steve Johnson 6-3, 6-2, 6-2
• No. 19 Denis Shapovalov def. Marc-Andrea Huesler 2-6, 6-4, 6-4, 3-6, 6-1
• No. 20 Daniel Evans def. Jiri Vesely 6-4, 6-1, 6-1
• No. 22 Frances Tiafoe def. Marcos Giron 7-6(0), 6-4, 6-3
• No. 23 Nick Kyrgios def. Thanasi Kokkinakis: 6-3, 6-4, 7-6 (4)
• No. 25 Borna Coric def. Enzo Couacaud 6-2, 7-6(5), 3-6, 4-6, 7-5
  
• No. 26 Lorenzo Musetti def. David Goffin 3-6, 7-5, 6-4, 3-6, 7-6(9)
• No. 28 Holger Rune def. Peter Gojowczyk 6-2, 6-4, 7-6(5)
• No. 32 Miomir Kecmanovic def. Learner Tien 3-6, 6-1, 6-3, 6-3 
• John Isner def. Federico Delbonis 6-3, 6-1, 7-5
  
• Ilya Ivashka def. Sam Querrey 4-6, 6-4, 7-6(8), 6-3
• Richard Gasquet def. Taro Daniel 6-4, 6-7(1), 6-2, 6-2
  

Notable Women's Singles Results

• No. 1 Iga Swiatek def. Jasmine Paolini 6-3, 6-0 
• No. 4 Paula Badosa def. Lesia Tsurenko 3-6, 7-6(4), 6-3
• No. 6 Aryna Sabalenka def. Catherine Harrison 6-1, 6-3 
• No. 8 Jessica Pegula def. Viktorija Golubic 6-2, 6-2 
• No. 9 Garbine Muguruza def. Clara Tauson 6-3, 7-6(5)
• Alize Cornet def. No. 11 Emma Raducanu: 6-3, 6-3
• No. 13 Belinda Bencic def. Andrea Petkovic 6-2, 4-6, 6-4
• Qinwen Zheng def. No. 16 Jelena Ostapenko 6-3, 3-6, 6-4 
• No. 19 Danielle Collins def. Naomi Osaka 7-6(5), 6-3
• No. 21 Petra Kvitova def. Erika Andreeva 7-6(3), 6-0
  
• No. 22 Karolina Pliskova def. Magda Linette 6-2, 4-6, 7-6(8)
  
• Yulia Putintseva def. No. 24 Amanda Anisimova 6-3, 6-3
  
• Clara Burel def. No. 25 Elena Rybakina 6-4, 6-4
  
• No. 26 Victoria Azarenka def. Ashlyn Krueger: 6-1, 4-6, 6-2
• Irina-Camelia Begu def. No. 32 Elise Mertens 3-6, 6-2, 6-3
  
• Sloane Stephens def. Greet Minnen 1-6, 6-3, 6-3
  
• Alison Van Uytvanck def. Venus Williams 6-1, 7-6(5)
  

Tuesday Recap

The drama started early as Alcaraz and Baez battled back and forth through the first two sets.

US Open Tennis @usopen

It's getting good inside Ashe between Sebastian Baez and Carlos Alcaraz 🔥<a href="">#USOpen</a> <a href="">

The Tennis Podcast @TennisPodcast

The rallies between Carlos "the famous" Alcaraz and Sebastian Baez are getting really fun, btw.

Although Alcaraz claimed the first two sets 7-5, Baez didn't seem to be out of the match entirely. However, their entertaining clash came to an abrupt end when Baez retired because of a leg injury.

"No one wants to see the end of a match like this," Alcaraz said of his win. "I think both players don’t deserve the end like this, but I just say that Sebastian is a great player. He fights until the last ball, so he decided the best thing."

Swiatek had a much easier time dispatching of Paolini.

The two-time French Open champion didn't have her best stuff on serve in the first set, suffering a pair of service breaks. Paolini had an equally difficult time on serve, though, and Swiatek was a perfect 4-of-4 on break-point opportunities.

US Open Tennis @usopen

In control early!<a href="">@iga_swiatek</a> takes the first set 6-3 over Jasmine Paolini. <a href="">

Swiatek then swept the Italian aside in the second set. She lost only four of her 16 service points and hit six winners to shut Paolini out.

"I think I just found my rhythm [and] could make her run a little bit more," she said of the difference between the two sets. "I know she has great touch, so I wanted to use my angles and I think I did that pretty well... I needed to take it up to another level. I did that at the end and in second set, so I'm pretty proud of that."

The upset of the day occurred Tuesday evening after Cornet defeated Raducanu 6-3, 6-3.

US Open Tennis @usopen

Alize Cornet is FIRED UP<br><br>The 🇫🇷 takes the first set over Raducanu, 6-3. <a href="">

US Open Tennis @usopen

.<a href="">@alizecornet</a> is victorious in Armstrong!<br><br>She defeats Raducanu, 6-3, 6-3 to advance to Round 2. <a href="">

"I’m sorry I beat her tonight but I’m really happy with my performance," Cornet said with a laugh during a post-match interview (h/t Clair Maciel of usopen.org).

"I felt like I played a really solid match, I was fighting my heart out and hanging in there. I think my game at the net was pretty good, I think it was a bit of everything, playing with a bit of variation, and it definitely worked tonight."

Cornet is no stranger to upsets and registered two massive ones in the third rounds of the 2014 and 2022 Wimbledon tournaments.

In 2014, Cornet defeated World No. 1 Serena Williams, who then proceeded to win four straight majors for the second time in her career. This year, she defeated World No. 1 Iga Swiatek to end her 37-match win streak.

Now Cornet has another one on her record after beating Raducanu, who rolled through the U.S. Open draw last year as a qualifier for one of the more remarkable major runs in recent memory.

Cornet broke Raducanu's serve seven times over two sets. She struggled at times during her own serve (nine double faults) but persevered for the big win. Cornet notably dominated at the net, winning 14-of-16 points. Raducanu also committed 31 unforced errors to Cornet's 22.

Nadal survived a scare in the first set after Hijikata broke his serve to go up 4-3 before holding on from there. The 21-year-old won 17-of-23 first-serve points and 8-of-12 net points in the first set and finished Nadal off with an ace:

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Know the name: Rinky Hijikata.<br><br>The 🇦🇺 takes the first set over Nadal, 6-4. <a href="">

However, Nadal held serve for the remainder of the match. He had four aces in the second set and broke Hijikata twice en route to a 6-2 win. In the third set, Nadal won 11-of-13 second-serve points before a 6-3 victory.

The fourth set was a bit more adventurous. Nadal went up 4-3 with a break, but Hijikata found himself with triple break point after going up 40-0. Undeterred, Nadal fought off Hijikata's valiant effort and held serve after winning six of the next seven points.

The final game consisted of 20 points. Hijikata fought off four Nadal break-point opportunities, but the 36-year-old won the fifth and final one to take the match.

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HOLY MATCH POINT RAFA <a href="">

Nadal is searching for his third U.S. Open title since 2017 and fifth overall.

Collins and Osaka wrapped up the night at Arthur Ashe Stadium with a matchup more fitting for the second week of a major.

Osaka, a two-time U.S. Open champion, was actually the better player for several stretches throughout the match, but it was Collins who came up big on the key points, led by converting three of her five break-point chances, to advance.

"When you lose to someone three times, you get a lot of information on what you can do better," Collins said. "With Naomi being the player that she is, she definitely whooped me the last time. I just had to learn from that and make adjustments and I think I did that."

The 28-year-old American is seeking her first Grand Slam title after making her major final debut earlier this year in the Australian Open.