12/06/2013 AT 05:35 PM EST
J.Mu? It doesn't have quite the same ring to it as J.Lo, does it?
The singer has filed papers in her divorce from Marc Anthony
seeking to change her legal name from Jennifer Muniz – Anthony's real last name – back to Jennifer Lopez
The couple split in July 2011
, and Anthony filed divorce papers
last year, but the American Idol
judge only filed a response on Monday.
In the papers, Lopez, 44, requests joint legal and physical custody of the couple's two kids
, Max and Emme, 5, and seeks to terminate the court's ability to award spousal support to Anthony, 45.
While Lopez told PEOPLE
earlier this year that "her whole world fell apart" when her seven-year marriage to Anthony ended, she has moved on with dancer and choreographer Casper Smart
"He's helped me heal," she said. "He's been there for me."