Blow up solutions to a viscoelastic fluid system and a coupled   Navier-Stokes/Phase-Field system in R^2
  We find explicit solutions to both the Oldroyd-B model with infinite Weissenberg number and the coupled Navier-Stokes/Phase-Field system. The solutions blow up in finite time. 
Liyun Zhao, Boling Guo, Haiyang Huang
math-ph math.MP