I am surprised that nobody has posted yet of the hottest hews in PDE's, Penny Smith's proposed proof that smooth, "immortal" solutions of the N-S equations exist. If it pans out, this will collect one of the famous Clay Millennium Prizes, a cool million. Smith says that unlike Perelman, she'd take it. She would also be a shoo-in for one of the Fields medals to be given four years from now. See Woit, and especially this comment by Brooks Moses to the Woit post.