The Ukrainian world number four breezed past her compatriot 6-2, 6-2 in just 59 minutes on a searing day on Rod Laver Arena. Svitolina had five aces, while Kostyuk had nine double faults. The 29-year-old, who reached the quarter-finals twice in 2009 and 2016, is due to next play either Latvia's Jelena Ostapenko, reigning French Open champion, or Estonia's Anett Kontaveit.
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Caroline Wozniacki, seeded second, battled her temper late into the match as she beat Kiki Bertens in the third round of the Australian Open on Friday. Five-time major victor Maria Sharapova and former Australian and U.S. Open champion Angelique Kerber are playing each other Saturday.
Ostapenko, playing with a heavily bandaged thigh, dominated the second set but was unable to sustain her level.
I had the chances, but because I thought, like, she is incredible, like, she's a god, I can not do anything against her, that's the problem that I didn't use much.' Speaking about the heat, Kostyuk added: 'Well, that was also biggest problem.
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Her reward is a fourth round tie against unseeded Spaniard Carla Suarez Navarro who got the better of Kaia Kanepi in three sets.
The 14th seeds had a tougher time, rallying from a set down to overcome Michaella Krajicek of the Netherlands and Alla Kudryavtseva of Russian Federation 4-6, 6-3, 7-6 (7/2) in two hours, 24 minutes on Court 13.
Bertens, seeded 30th, cancelled out a third match point with a ripping return down the line but Wozniacki sealed the fourth with a huge serve that the Dutchwoman could only fire long. The kid broke to love in the opening game, but then immediately dropped her own serve, and the senior citizen - everything being relative, for she is still just 23 - then won five of the next six games, and, eventually the match in just under an hour. "She's a great player, but I learnt that I can play against everyone". "I got it for free".
Les invités de Laurent Ruquier ce samedi 20 janvier 2018 — ONPC
Le duo Ibeyi composé par les jumelles Lisa-Kaindé et Naomi Diaz fera la promotion de son album Ash (XL/Wagram). Benjamin Biolay et Mélanie Thierry pour le film La douleur écrit et réalisé par Emmanuel Finkie .
The seventh-seeded Ostapenko's loss left only two major winners in the women's draw - and only one of them can reach the fourth round.