Stephens off to a flyer in French Open

US Open champion Sloane Stephens has thrashed Arantxa Rus in the first round of the French Open

Sloane Stephens has enjoyed her first grand slam win as the reigning US Open champion by demolishing Dutchwoman Arantxa Rus 6-2 6-0 in the first round of the French Open.

It was the American 10th seed's first win at a grand slam tournament since claiming her first major title in New York last September.

She was beaten in the first round of the Australian Open and that result in January was one of eight successive defeats she suffered following her Flushing Meadows triumph.

But if Rus harboured any hopes of pulling off another upset, those hopes were dashed on Sunday in 49 brutal minutes by Stephens.

The Dutchwoman managed to produce only two winners during the contest as Stephens ran her ragged from the baseline with a non-stop flow of flying groundstrokes.

In other women's games, Elina Svitolina marched through to the second round of the French Open after a tough opening set against Australia's Alja Tomljanovic.

World No.4 Svitolina fell 5-1 behind in 23 minutes but powered back to a 7-5 6-3 victory.

France's Alize Cornet dug deep to recover from a set down to defeat Italian Sara Errani 2-6 6-2 6-3 in a show of powerful baseline hitting.

Estonia's Anett Kontaveit is into the second round after a 6-1 4-6 6-2 victory over American Madison Brengle, as is Ekaterina Makarova, who beat China's Zheng Saisai 6-4 6-1, and Petra Martic, who downed Wang Yafan 6-2 6-3.