Global existence results for Oldroyd-B Fluids in exterior domains: The   case of non-small coupling parameters
  Consider the set of equations describing Oldroyd-B fluids in an exterior domain. It is shown that this set of equations admits a unique, global solution in a certain function space provided the initial data, but not necessarily the coupling constant, is small enough. 
Daoyuang Fang, Matthias Hieber and Ruizhao Zi
math.AP