Jennifer Lopez & Casper Smart Take Her Twins to the Park

08/06/2012 at 11:45 AM EDT

Jennifer Lopez & Casper Smart Take Her Twins to the Park
Jennifer Lopez and Caper Smart, with Emme
The best antidote to rumors of a romance cooling off? How about a warm summer day in the park with the kids?

Amid speculation that her relationship with Casper Smart is on the rocks, Jennifer Lopez was still all smiles Sunday as she and her beau took her 4-year-old twins Emme and Max out for a stroll.

Last week, a source told PEOPLE that "she's getting frustrated with him" and she's increasingly "short-tempered when she's around him." But that was then.

"Enjoying the beautiful day with my coconuts at the park!! #dayoff #familia #LOVE," the pop star and former American Idol judge wrote on Twitter, as a photographer snapped a pic of Smart carrying Emme.

Lopez, 43, with her hair pulled back in a bun and wearing a flowing blue-and-white sundress, looked relaxed and happy – a different image than that painted by sources who say she has grown short-tempered with Smart.

For his part, Smart, in cut-off jeans, sneakers and a white T-shirt, betrayed just the hint of a smile behind dark sunglasses.

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