Abstract:The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on $e_{ij}$ and $(\frac {\partial e_{ij}}{\partial x_k})$. For this case, we prove the existence and uniqueness of weak solution.
Keywords: barotropic nonnewtonian fluid, bipolar fluid, existence, uniqueness, weak solution
AMS Subject Classification: 76N, 35Q