Wild solutions for 2D incompressible ideal flow with passive tracer
  In Ann. Math., 170 (2009), 1417-1436, C. De Lellis and L. Sz\'ekelyhidi Jr. constructed wild solutions of the incompressible Euler equations using a reformulation of the Euler equations as a differential inclusion together with convex integration. In this article we adapt their construction to the system consisting of adding the transport of a passive scalar to the two-dimensional incompressible Euler equations. 
Anne Bronzi, Milton Lopes Filho and Helena Nussenzveig Lopes
math.AP physics.flu-dyn