What is the name of the dress style that is tight on top but flowy on the bottom with an empire waist and three quarter length sleeves?

The dress style you're describing is commonly referred to as an "empire waist dress." This style features a fitted bodice that sits just below the bust, with a flowy skirt that falls loosely, often complemented by three-quarter length sleeves. It's a flattering silhouette that enhances the waist while allowing for comfort and movement in the skirt.