07/12/2006 AT 08:00 AM EDT
Christie Brinkley and her fourth husband, architect Peter Cook, are going their separate ways after 10 years of marriage, the CoverGirl model's rep revealed Tuesday.
"Yes, it's true. The couple has separated," publicist Elliot Mintz says in a statement, according to the Associated Press.
Brinkley and Cook, 47, who live in New York's tony Hamptons region, have a daughter, Sailor, 8.
Brinkley, 52, was previously married to artist Jean-François Allaux (1973-81), singer Billy Joel (1985-94) and developer Richard Taubman (1994-95).
She and Joel have a 20-year-old daughter, Alexa, and she and Taubman have an 11-year-old son, Jack, whom Cook adopted after he and Brinkley wed in 1996.
"(Christie's) immediate concern is for her children, and she's hoping during this obviously difficult time that people will be kind enough to respect her privacy," Mintz said.