On the global existence for a regularized model of viscoelastic   non-Newtonian fluid
  We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $\mu(\mathbf{D}) \sim |\mathbf{D}|^{p-2}$ ($p>\frac 65$) regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we are able to prove global existence of weak solution to the corresponding system of partial differential equations. 
Ond\v{r}ej Kreml, Milan Pokorn\'y, Pavel \v{S}alom
math.AP